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20N05 Loops, quasigroups (255 articles)

• Jaiyéọlá, Tèmítọ́pẹ́ G.; George, Olufemi O.: On loops that satisfy $x\cdot (x\cdot yx)z=(x\cdot xy)\cdot xz $. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 66 (2025), issue 1, pp. 29-36
• Ježek, Jaroslav J.; Kepka, Tomáš J.; Němec, Petr C.: Quasigroup covers of division groupoids. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 64 (2023), issue 3, pp. 265-278
• Ghumashyan, Heghine; Guričan, Jaroslav: Sofic groups are not locally embeddable into finite Moufang loops. (English). Mathematica Bohemica, vol. 147 (2022), issue 1, pp. 11-18
• Sokhatsky, Fedir; Lutsenko, Alla: Classification of quasigroups according to directions of translations II. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 62 (2021), issue 3, pp. 309-323
• Greer, Mark; Raney, Lee: Automorphic loops and metabelian groups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 61 (2020), issue 4, pp. 523-534
• Kozlik, Andrew R.: The centre of a Steiner loop and the maxi-Pasch problem. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 61 (2020), issue 4, pp. 535-545
• Sokhatsky, Fedir; Lutsenko, Alla: Classification of quasigroups according to directions of translations I. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 61 (2020), issue 4, pp. 567-579
• Figula, Ágota; Nagy, Péter T.: Inverse property of nonassociative abelian extensions. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 61 (2020), issue 4, pp. 501-511
• Drápal, Aleš; Hora, Jan: Nonassociative triples in involutory loops and in loops of small order. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 61 (2020), issue 4, pp. 459-479
• Drápal, Aleš; Kinyon, Michael: Normality, nuclear squares and Osborn identities. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 61 (2020), issue 4, pp. 481-500
• Niemenmaa, Markku: On finite commutative IP-loops with elementary abelian inner mapping groups of order $p^5$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 61 (2020), issue 4, pp. 547-551
• Gaál, Marcell: The operation $ABA$ in operator algebras. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 61 (2020), issue 4, pp. 513-521
• Smith, Jonathan D. H.: Semisymmetrization and Mendelsohn quasigroups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 61 (2020), issue 4, pp. 553-566
• Didurik, Natalia; Shcherbacov, Victor: Units in quasigroups with classical Bol--Moufang type identities. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 61 (2020), issue 4, pp. 427-435
• Fryz, Iryna V.: Algorithm for the complement of orthogonal operations. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 59 (2018), issue 2, pp. 135-151
• Niemenmaa, Markku: On dihedral 2-groups as inner mapping groups of finite commutative inverse property loops. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 59 (2018), issue 2, pp. 189-193
• Phillips, J. D.: The commingling of commutativity and associativity in Bol loops. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 57 (2016), issue 4, pp. 555-565
• Goračinova-Ilieva, Lidija; Markovski, Smile: Construction of Mendelsohn designs by using quasigroups of $(2,q)$-varieties. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 57 (2016), issue 4, pp. 501-514
• Grabowski, Janusz: An introduction to loopoids. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 57 (2016), issue 4, pp. 515-526
• Stanovský, David: Medial quasigroups of prime square order. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 57 (2016), issue 4, pp. 585-590
• Drápal, Aleš: Moufang loops of order coprime to three that cyclically extend groups of dihedral type. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 57 (2016), issue 4, pp. 453-500
• Leppälä, Emma; Niemenmaa, Markku: On dicyclic groups as inner mapping groups of finite loops. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 57 (2016), issue 4, pp. 549-553
• Smith, J. D. H.: Quantum idempotence, distributivity, and the Yang-Baxter equation. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 57 (2016), issue 4, pp. 567-583
• Kozlik, Andrew R.: Antiflexible Latin directed triple systems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 56 (2015), issue 4, pp. 417-431
• Leppälä, Emma; Niemenmaa, Markku: On finite commutative loops which are centrally nilpotent. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 56 (2015), issue 2, pp. 139-143
• Plaumann, P.; Sabinina, L.; Stuhl, I.: The Cayley graph and the growth of Steiner loops. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 55 (2014), issue 4, pp. 493-498
• Aboras, Mouna: Dihedral-like constructions of automorphic loops. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 55 (2014), issue 3, pp. 269-284
• Greer, Mark; Raney, Lee: Moufang semidirect products of loops with groups and inverse property extensions. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 55 (2014), issue 3, pp. 411-420
• Jedlička, Přemysl: Odd order semidirect extensions of commutative automorphic loops. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 55 (2014), issue 4, pp. 447-456
• Nagy, Gábor P.: On centerless commutative automorphic loops. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 55 (2014), issue 4, pp. 485-491
• Matczak, K.; Romanowska, A. B.: Some regular quasivarieties of commutative binary modes. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 55 (2014), issue 4, pp. 471-484
• Baez, Karla: Towards a geometric theory for left loops. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 55 (2014), issue 3, pp. 315-323
• Johnson, K. W.; Munywoki, M.; Smith, Jonathan D. H.: The upper triangular algebra loop of degree $4$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 55 (2014), issue 4, pp. 457-470
• Leppälä, Emma; Niemenmaa, Markku: A note on loops of square-free order. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 54 (2013), issue 1, pp. 1-3
• Volenec, V.; Kolar--Begović, Z.; Kolar--Šuper, R.: Affine regular icosahedron circumscribed around the affine regular octahedron in GS--quasigroup. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 53 (2012), issue 3, pp. 501-507
• Baumeister, B.: Do finite Bruck loops behave like groups?. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 53 (2012), issue 3, pp. 337-346
• Clavier, Lucien: Enumeration of nilpotent loops up to isotopy. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 53 (2012), issue 2, pp. 159-177
• Barros, Dylene Agda Souza de; Grishkov, Alexander; Vojtěchovský, Petr: The free commutative automorphic $2$-generated loop of nilpotency class $3$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 53 (2012), issue 3, pp. 321-336
• Drápal, Aleš; Shcherbacov, Victor: Identities and the group of isostrophisms. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 53 (2012), issue 3, pp. 347-374
• Sokhatsky, Fedir M.; Fryz, Iryna V.: Invertibility criterion of composition of two multiary quasigroups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 53 (2012), issue 3, pp. 429-445
• Samardjiska, Simona; Gligoroski, Danilo: Left MQQs whose left parastrophe is also quadratic. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 53 (2012), issue 3, pp. 397-421
• Slattery, Michael C.; Zenisek, Ashley L.: Moufang loops of order 243. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 53 (2012), issue 3, pp. 423-428
• Gagola III, Stephen: Nonsplitting F-quasigroups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 53 (2012), issue 3, pp. 375-381
• Ursu, Vasile I.: On quasivarieties of nilpotent Moufang loops. I. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 53 (2012), issue 3, pp. 475-489
• Ursu, Vasile I.: On quasivarieties of nilpotent Moufang loops. II. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 53 (2012), issue 3, pp. 491-499
• Greer, Mark; Kinyon, Michael: Pseudoautomorphisms of Bruck loops and their generalizations. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 53 (2012), issue 3, pp. 383-389
• Nagy, Péter T.; Stuhl, Izabella: Quasigroups arisen by right nuclear extension. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 53 (2012), issue 3, pp. 391-395
• Sokhatsky, Fedir M.; Krainichuk, Halyna V.: Solution of distributive-like quasigroup functional equations. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 53 (2012), issue 3, pp. 447-459
• Beaudry, Martin; Marchand, Louis: Commutative subloop-free loops. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 52 (2011), issue 4, pp. 473-484
• Trch, Milan: Grupoids and the associative law VII B (SH-grupoids and simply generated congruences). (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 52 (2011), issue 2, pp. 77-87
• Stehlíková, Beáta; Markechová, Dagmar; Tirpáková, Anna: On the existence of a Haar measure in topological IP-loops. (English). Kybernetika, vol. 47 (2011), issue 5, pp. 740-754
• Kolar-Begović, Zdenka: A short direct characterization of GS-quasigroups. (English). Czechoslovak Mathematical Journal, vol. 61 (2011), issue 1, pp. 3-6
• Lawson, Jimmie: Clifford algebras, Möbius transformations, Vahlen matrices, and $B$-loops. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 51 (2010), issue 2, pp. 319-331
• Raasch, Jan M.: Commutators and associators in Catalan loops. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 51 (2010), issue 2, pp. 333-347
• Bremner, Murray R.; Hentzel, Irvin R.; Peresi, Luiz A.; Tvalavadze, Marina V.; Usefi, Hamid: Enveloping algebras of Malcev algebras. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 51 (2010), issue 2, pp. 157-174
• Kepka, Tomáš; Kinyon, Michael K.; Phillips, J. D.: F-quasigroups isotopic to groups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 51 (2010), issue 2, pp. 267-277
• Vanžurová, Alena: Medial quasigroups of type $(n,k)$. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 49 (2010), issue 2, pp. 107-122
• Wells, Andrew: Moufang loops arising from Zorn vector matrix algebras. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 51 (2010), issue 2, pp. 371-388 Shcherbacov, V. A.; Pushkashu, D. I.: On the structure of finite paramedial quasigroups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 51 (2010), issue 2, pp. 357-370
• Ježek, J.; Kepka, Tomáš: A note on uniserial loops. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 51 (2010), issue 2, pp. 263-265
• Jedlička, Přemysl: On commutative loops of order $pq$ with metacyclic inner mapping group and trivial center. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 51 (2010), issue 2, pp. 253-261
• Niemenmaa, Markku: On finite commutative IP-loops with elementary abelian inner mapping groups of order $p^4$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 51 (2010), issue 4, pp. 559-563
• Hall, J. I.: On Mikheev's construction of enveloping groups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 51 (2010), issue 2, pp. 245-252
• Rytty, Miikka: On the structure of finite loop capable nilpotent groups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 51 (2010), issue 2, pp. 349-355
• Wells, Andrew: Moufang loops arising from Zorn vector matrix algebras. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 51 (2010), issue 2, pp. 371-388 Shcherbacov, V. A.; Pushkashu, D. I.: On the structure of finite paramedial quasigroups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 51 (2010), issue 2, pp. 357-370
• Browning, Joshua M.; Vojtěchovský, Petr; Wanless, Ian M.: Overlapping latin subsquares and full products. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 51 (2010), issue 2, pp. 175-184
• Kerby, Brent; Smith, Jonathan D. H.: Quasigroup automorphisms and symmetric group characters. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 51 (2010), issue 2, pp. 279-286
• Giuliani, Maria de Lourdes M.; Johnson, Kenneth W.: Right division in Moufang loops. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 51 (2010), issue 2, pp. 209-215
• Keedwell, A. D.: Corrigendum to “Realizations of Loops and Groups defined by short identities”. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 50 (2009), issue 4, pp. 639-640
• Trch, Milan: Groupoids and the associative law IIIA. (Primitive extensions of SH-groupoids and their semigroup distances). (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 50 (2009), issue 1, pp. 73-82
• Keedwell, A. D.: Realizations of Loops and Groups defined by short identities. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 50 (2009), issue 3, pp. 373-383
• Demirel, Oğuzhan: The theorems of Stewart and Steiner in the Poincaré disc model of hyperbolic geometry. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 50 (2009), issue 3, pp. 359-371
• Volenec, V.; Kolar-Begović, Z.: Affine regular decagons in GS-quasigroup. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 49 (2008), issue 3, pp. 383-395
• Chein, Orin; Goodaire, Edgar G.: Bol loops with a large left nucleus. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 49 (2008), issue 2, pp. 171-196
• Drápal, Aleš: A class of commutative loops with metacyclic inner mapping groups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 49 (2008), issue 3, pp. 357-382
• Sorge, Volker; Colton, Simon; McCasland, Roy; Meier, Andreas: Classification results in quasigroup and loop theory via a combination of automated reasoning tools. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 49 (2008), issue 2, pp. 319-339
• Gligoroski, Danilo; Knapskog, Svein Johan: Edon-$\Cal R (256,384,512)$ -- an efficient implementation of Edon-$\Cal R$ family of cryptographic hash functions. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 49 (2008), issue 2, pp. 219-239
• Kepka, Tomáš; Kinyon, Michael K.; Phillips, J. D.: F-quasigroups and generalized modules. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 49 (2008), issue 2, pp. 249-257
• Rajah, Andrew; Chong, Kam-Yoon: Moufang loops of odd order $p_1p_2\dots p_nq^3$ with non-trivial nucleus. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 49 (2008), issue 2, pp. 301-307
• Niemenmaa, Markku; Rytty, Miikka: On central nilpotency in finite loops with nilpotent inner mapping groups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 49 (2008), issue 2, pp. 271-277
• Demko, Milan: On congruences and ideals of partially ordered quasigroups. (English). Czechoslovak Mathematical Journal, vol. 58 (2008), issue 3, pp. 637-650
• Csörgö, Piroska: On loops that are abelian groups over the nucleus and Buchsteiner loops. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 49 (2008), issue 2, pp. 197-208
• Pula, Kyle: Powers of elements in Jordan loops. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 49 (2008), issue 2, pp. 291-299
• Demko, Milan: Products of partially ordered quasigroups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 49 (2008), issue 2, pp. 209-217
• Nagy, Péter T.; Strambach, Karl: Schreier loops. (English). Czechoslovak Mathematical Journal, vol. 58 (2008), issue 3, pp. 759-786
• Phillips, J. D.; Vojtěchovský, Petr: A scoop from groups: equational foundations for loops. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 49 (2008), issue 2, pp. 279-290
• Volenec, Vladimír; Kolar-Šuper, Ružica: Skewsquares in quadratical quasigroups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 49 (2008), issue 3, pp. 397-410
• Nagy, Gábor P.: Some remarks on simple Bol loops. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 49 (2008), issue 2, pp. 259-270
• Smith, Jonathan D. H.: Ternary quasigroups and the modular group. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 49 (2008), issue 2, pp. 309-317
• Keedwell, A. D.: When is it hard to show that a quasigroup is a loop?. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 49 (2008), issue 2, pp. 241-247
• Wagner, Daniel; Wopperer, Stefan: Bol-loops of order $3\cdot 2^n$. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 46 (2007), issue 1, pp. 85-88
• Trch, Milan: Groupoids and the associative law VIIA. (SH-groupoids of type (A, B, A) and their semigroup distances). (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 48 (2007), issue 1, pp. 43-54
• Demko, Milan: Lexicographic product decompositions of half linearly ordered loops. (English). Czechoslovak Mathematical Journal, vol. 57 (2007), issue 2, pp. 607-629
• Niemenmaa, Markku: On the structure of finite loop capable Abelian groups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 48 (2007), issue 2, pp. 217-224
• Ormes, Nicholas; Vojtěchovský, Petr: Powers and alternative laws. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 48 (2007), issue 1, pp. 25-40
• Volenec, Vladimír; Bombardelli, Mea: Symmetries in hexagonal quasigroups. (English). Archivum Mathematicum, vol. 43 (2007), issue 2, pp. 123-132
• Trch, Milan: Groupoids and the associative law. VII. Semigroup distance of SH-groupoids. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 47 (2006), issue 1, pp. 57-63
• Ježek, Jaroslav; Kepka, Tomáš: Selfdistributive groupoids. Part D1: Left distributive semigroups. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 47 (2006), issue 1, pp. 15-56
• Csörgö, Piroska: Extending the structural homomorphism of LCC loops. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 46 (2005), issue 3, pp. 385-389
• Jančařík, Antonín; Kepka, Tomáš; Vítek, Milan: Multiplication groups of quasigroups and loops IV. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 46 (2005), issue 1, pp. 77-100
• Drápal, Aleš: On multiplication groups of relatively free quasigroups isotopic to Abelian groups. (English). Czechoslovak Mathematical Journal, vol. 55 (2005), issue 1, pp. 61-86
• Bénéteau, L.; Hashish, M. Abou: An alternative way to classify some Generalized Elliptic Curves and their isotopic loops. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 45 (2004), issue 2, pp. 237-255
• Kinyon, Michael K.; Phillips, J. D.: Axioms for trimedial quasigroups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 45 (2004), issue 2, pp. 287-294
• Johnson, K. W.; Smith, J. D. H.: Characters of finite quasigroups VII: permutation characters. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 45 (2004), issue 2, pp. 265-273
• Vojtěchovský, Petr: A class of Bol loops with a subgroup of index two. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 45 (2004), issue 2, pp. 371-381
• Cavenagh, Nicholas J.: Embedding $3$-homogeneous latin trades into abelian $2$-groups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 45 (2004), issue 2, pp. 191-212
• Ungar, Abraham A.: The hyperbolic triangle centroid. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 45 (2004), issue 2, pp. 355-369
• Kiechle, Hubert; Kinyon, Michael K.: Infinite simple Bol loops. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 45 (2004), issue 2, pp. 275-278
• Kikkawa, Michihiko: Kikkawa loops and homogeneous loops. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 45 (2004), issue 2, pp. 279-285
• Mullen, Gary L.; Shcherbacov, Victor: $n$-T-quasigroup codes with one check symbol and their error detection capabilities. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 45 (2004), issue 2, pp. 321-340
• Paal, Eugen: Note on analytic Moufang loops. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 45 (2004), issue 2, pp. 349-354
• Niemenmaa, M.: On finite loops and their inner mapping groups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 45 (2004), issue 2, pp. 341-347
• Csörgö, Piroska; Kepka, Tomáš: On loops whose inner permutations commute. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 45 (2004), issue 2, pp. 213-221
• Drápal, Aleš: On multiplication groups of left conjugacy closed loops. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 45 (2004), issue 2, pp. 223-236
• Kepka, T.; Rosendorf, D.: Quasigroups which are unions of three proper subquasigroups. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 45 (2004), issue 1, pp. 55-66
• Kreuzer, Alexander: Reflection loops of spaces with congruence and hyperbolic incidence structure. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 45 (2004), issue 2, pp. 303-320
• Kivunge, Benard M.; Smith, Jonathan D. H: Subloops of sedenions. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 45 (2004), issue 2, pp. 295-302
• Kepka, Tomáš; Příhoda, Pavel; Šťovíček, Jan: Unions of subquasigroups. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 45 (2004), issue 1, pp. 43-54
• Vojtěchovský, Petr: On the uniqueness of loops $M(G,2)$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 44 (2003), issue 4, pp. 629-635
• Kepka, Tomáš; Němec, Petr: Selfdistributive groupoids. Part A1. Non-indempotent left distributive groupoids. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 44 (2003), issue 1, pp. 3-94
• Chein, Orin; Goodaire, Edgar G.: Minimally nonassociative Moufang loops with a unique nonidentity commutator are ring alternative. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 43 (2002), issue 1, pp. 1-8
• Gatial, Ján; Kaprálik, Peter: On median point of the system of elements of $A$-structure. (English). Mathematica Slovaca, vol. 51 (2001), issue 3, pp. 275-280
• Kepka, Tomáš: Quasigroups of fractions. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 42 (2001), issue 1, pp. 3-81
• Drápal, Aleš: A-loops close to code loops are groups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 41 (2000), issue 2, pp. 245-249
• Akivis, Maks A.; Goldberg, Vladislav V.: Algebraic aspects of web geometry. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 41 (2000), issue 2, pp. 205-236
• Sbitneva, Larissa: Bol loop actions. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 41 (2000), issue 2, pp. 405-408
• Bělohlávek, Radim: A characterization of congruence classes of quasigroups. (English). Mathematica Slovaca, vol. 50 (2000), issue 4, pp. 377-380
• Smith, Jonathan D. H.: A class of quasigroups solving a problem of ergodic theory. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 41 (2000), issue 2, pp. 409-414
• Vojtěchovský, Petr: Combinatorial aspects of code loops. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 41 (2000), issue 2, pp. 429-435
• Kepka, Tomáš; Němec, Petr: Connected transversals -- the Zassenhaus case. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 41 (2000), issue 2, pp. 299-300
• Keedwell, A. D.: Construction, properties and applications of finite neofields. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 41 (2000), issue 2, pp. 283-297
• Ježek, Jaroslav; Kepka, Tomáš: The equational theory of paramedial cancellation groupoids. (English). Czechoslovak Mathematical Journal, vol. 50 (2000), issue 1, pp. 25-34
• Kinyon, Michael K.: Global left loop structures on spheres. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 41 (2000), issue 2, pp. 325-346
• Foguel, Tuval: Groups, transversals, and loops. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 41 (2000), issue 2, pp. 261-269
• Pflugfelder, Hala Orlik: Historical notes on loop theory. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 41 (2000), issue 2, pp. 359-370
• Johnson, Kenneth W.: Loop characters. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 41 (2000), issue 2, pp. 271-281
• Smith, Jonathan D. H.: Loops and quasigroups: Aspects of current work and prospects for the future. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 41 (2000), issue 2, pp. 415-427
• Nesterov, Alexander I.; Sabinin, Lev V.: Non-associative geometry and discrete structure of spacetime. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 41 (2000), issue 2, pp. 347-357
• Niemenmaa, Markku: On abelian inner mapping groups of finite loops. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 41 (2000), issue 4, pp. 687-691
• Safonova, L. V.; Shchukin, K. K.: On centrally nilpotent loops. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 41 (2000), issue 2, pp. 401-404
• Phillips, J. D.: On Moufang A-loops. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 41 (2000), issue 2, pp. 371-375
• Issa, A. Nourou: On quasigroups with the left loop property. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 41 (2000), issue 4, pp. 663-669
• Lemieux, François; Moore, Cristopher; Thérien, Denis: Polyabelian loops and Boolean completeness. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 41 (2000), issue 4, pp. 671-686
• Chein, Orin; Rajah, Andrew: Possible orders of nonassociative Moufang loops. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 41 (2000), issue 2, pp. 237-244
• Kiechle, Hubert: Relatives of K-loops: Theory and examples. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 41 (2000), issue 2, pp. 301-323
• Sabinin, Lev V.: Smooth quasigroups and loops: forty-five years of incredible growth. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 41 (2000), issue 2, pp. 377-400
• Myllylä, Kari; Niemenmaa, Markku: On the solvability of commutative loops and their multiplication groups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 40 (1999), issue 2, pp. 209-213
• Cho, Jung R.; Ježek, Jaroslav; Kepka, Tomáš: Paramedial groupoids. (English). Czechoslovak Mathematical Journal, vol. 49 (1999), issue 2, pp. 277-290
• Cho, Jung R.; Ježek, Jaroslav; Kepka, Tomáš: Simple paramedial groupoids. (English). Czechoslovak Mathematical Journal, vol. 49 (1999), issue 2, pp. 391-399
• Vanžurová, A.: Sabinin‘s method for classification of local Bol loops. (English). In: Slovák, Jan and Čadek, Martin (eds.): Proceedings of the 18th Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1999. pp. 209-220
• Ježek, Jaroslav: Enumerating left distributive groupoids. (English). Czechoslovak Mathematical Journal, vol. 47 (1997), issue 4, pp. 717-727
• Kepka, T.; Jančařík, A.: Multiplication groups of quasigroups and loops III. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 38 (1997), issue 1, pp. 53-62
• Ježek, Jaroslav; Kepka, Tomáš: Selfdistributive groupoids of small orders. (English). Czechoslovak Mathematical Journal, vol. 47 (1997), issue 3, pp. 463-468
• Ježek, Jaroslav; Kepka, Tomáš: Groupoids and the associative law XII. (Representable cardinal functions). (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 37 (1996), issue 1, pp. 41-62
• Drápal, Aleš: Multiplication groups of free loops. I. (English). Czechoslovak Mathematical Journal, vol. 46 (1996), issue 1, pp. 121-131
• Drápal, Aleš: Multiplication groups of free loops. II. (English). Czechoslovak Mathematical Journal, vol. 46 (1996), issue 2, pp. 201-220
• Niemenmaa, Markku: On finite loops whose inner mapping groups have small orders. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 37 (1996), issue 3, pp. 651-654
• Kepka, Tomáš; Trch, Milan: Groupoids and the associative law III. (Szász-Hájek groupoids). (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 36 (1995), issue 1, pp. 17-30
• Kepka, Tomáš; Trch, Milan: Groupoids and the associative law V. (Szász-Hájek groupoids fo type (A, A, B)). (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 36 (1995), issue 1, pp. 31-44
• Havel, V. J.; Klouda, J.: Closure conditions of commutativity. (English). Archivum Mathematicum, vol. 30 (1994), issue 1, pp. 9-16
• Havel, Václav; Sedlářová, Miloslava: Golden section quasigroups as special idempotent medial quasigroups. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 33 (1994), issue 1, pp. 43-50
• Kepka, Tomáš; Trch, Milan: Groupoids and the associative law IV. (Szász-Hájek Groupoids of Type (A, B, A)). (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 35 (1994), issue 1, pp. 31-42
• Holgate, P.: Logarithmetics and quasigroup structure. (English). Czechoslovak Mathematical Journal, vol. 44 (1994), issue 2, pp. 293-304
• Drápal, Aleš; Kepka, Tomáš; Maršálek, Petr: Multiplication groups of quasigroups and loops II. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 35 (1994), issue 1, pp. 9-29
• Havel, Václav J.: Regulated buildups of 3-configurations. (English). Archivum Mathematicum, vol. 30 (1994), issue 1, pp. 17-24
• Havel, V. J.: $3$-configurations with simple edge basis and their corresponding quasigroup identities. (English). Archivum Mathematicum, vol. 29 (1993), issue 2, pp. 187-195
• Havel, V. J.: A geometric approach to universal quasigroup identities. (English). Archivum Mathematicum, vol. 29 (1993), issue 1, pp. 97-103
• Kepka, Tomáš; Trch, Milan: Groupoids and the associative law II. (Groupoids with small semigroup distance). (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 34 (1993), issue 1, pp. 67-83
• Krapež, A.; Taylor, M. A.: Irreducible Belousov equations on quasigroups. (English). Czechoslovak Mathematical Journal, vol. 43 (1993), issue 1, pp. 157-175
• Drápal, Aleš; Kepka, Tomáš: Multiplication groups of quasigroups and loops I. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 34 (1993), issue 1, pp. 85-99
• Ščukin, K. K.: A note on simple medial quasigroups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 34 (1993), issue 2, pp. 221-222
• Markvartová, Jitka: A parallelogram configuration condition in nets. (English). Archivum Mathematicum, vol. 29 (1993), issue 1, pp. 5-17
• Kepka, Tomáš; Ščukin, K. K.: Simple quasigroups whose inner permutations commute. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 34 (1993), issue 2, pp. 223-227
• Havel, Václav; Klouda, Josef: Skeletons in multigraphs. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 34 (1993), issue 4, pp. 689-696
• Kepka, Tomáš; Trch, Milan: Groupoids and the associative law I. (Associative triples). (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 33 (1992), issue 1, pp. 69-86
• Brožíková, Elena: On universal quasigroup identities. (English). Mathematica Bohemica, vol. 117 (1992), issue 1, pp. 20-32
• Phillips, J. D.; Smith, J. D. H.: The endocenter and its applications to quasigroup representation theory. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 32 (1991), issue 3, pp. 417-422
• Volenec, Vladimír: Hexagonal quasigroups. (English). Archivum Mathematicum, vol. 27 (1991), issue 1, pp. 113-122
• Kepka, Tomáš: $m$-medial $n$-quasigroups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 32 (1991), issue 1, pp. 9-14
• Drápal, Aleš: On a planar construction of quasigroups. (English). Czechoslovak Mathematical Journal, vol. 41 (1991), issue 3, pp. 538-548
• Holgate, Philip: Plenary stable quasigroups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 32 (1991), issue 1, pp. 1-7
• Volenec, Vladimír: GS-quasigroups. (English). Časopis pro pěstování matematiky, vol. 115 (1990), issue 3, pp. 307-318
• Johnson, K. W.; Leedham-Green, C. R.: Loop cohomology. (English). Czechoslovak Mathematical Journal, vol. 40 (1990), issue 2, pp. 182-194
• Drápal, Aleš; Kepka, Tomáš: Loops whose translations generate the alternating group. (English). Czechoslovak Mathematical Journal, vol. 40 (1990), issue 1, pp. 116-124
• Ježek, Jaroslav; Kepka, Tomáš: Notes on the number of associative triples. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 31 (1990), issue 1, pp. 15-19
• Brožíková, Elena: On $3$-basic quasigroups and their congruences. (English). Časopis pro pěstování matematiky, vol. 115 (1990), issue 1, pp. 38-47
• Kepka, Tomáš; Němec, Petr: Trimedial quasigroups and generalized modules I. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 31 (1990), issue 1, pp. 3-14
• Drápal, Aleš; Kepka, Tomáš: On a distance of groups and Latin squares. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 30 (1989), issue 4, pp. 621-626
• Kepka, T.: Quasigroups having at most three inner mappings. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 30 (1989), issue 1, pp. 3-11
• Němec, Petr: Arithmetical forms of quasigroups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 29 (1988), issue 2, pp. 295-302
• Němec, Petr: Commutative Moufang loops corresponding to linear quasigroups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 29 (1988), issue 2, pp. 303-308
• Duplák, Ján: Identities and deleting maps on quasigroups. (English). Czechoslovak Mathematical Journal, vol. 38 (1988), issue 1, pp. 1-7
• Jachanová, Jaroslava: On a generalization of nets. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 27 (1988), issue 1, pp. 39-47
• Dudek, Jozef: On Steiner quasigroups. (English). Mathematica Slovaca, vol. 37 (1987), issue 1, pp. 71-83
• Drápal, Aleš; Kepka, Tomáš: Parity of orthogonal automorphisms. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 28 (1987), issue 2, pp. 251-259
• Drápal, Aleš; Kepka, Tomáš: Parity of orthogonal permutations. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 28 (1987), issue 3, pp. 427-432
• Kepka, Tomáš: A construction of commutative Moufang loops and quasimodules. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 27 (1986), issue 3, pp. 499-518
• Duplák, Ján: Quasigroups determined by balanced identities of length $\leqq6$. (English). Czechoslovak Mathematical Journal, vol. 36 (1986), issue 4, pp. 599-616
• Havel, Václav: Configuration conditions of small point rank in 3-nets. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 26 (1985), issue 2, pp. 327-335
• Drápal, A.; Kepka, T.: Exchangeable partial groupoids II. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 26 (1985), issue 1, pp. 3-9
• Kepka, T.: Hamiltonian quasimodules and trimedial quasigroups. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 26 (1985), issue 1, pp. 11-20
• Sharma, B. L.: Classification of Bol loops of order 18. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 25 (1984), issue 1, pp. 37-44