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06D35 MV-algebras (117 articles)

• Forouzesh, Fereshteh; Sajadian, Farhad; Bedrood, Mahta: Inverse topology in MV-algebras. (English). Mathematica Bohemica, vol. 144 (2019), issue 3, pp. 273-285
• Figallo, Aldo V.; Lattanzi, Marina B.: Epimorphisms between finite MV-algebras. (English). Mathematica Bohemica, vol. 142 (2017), issue 4, pp. 345-355
• Chajda, Ivan; Länger, Helmut: States on basic algebras. (English). Mathematica Bohemica, vol. 142 (2017), issue 2, pp. 197-210
• RACHŮNEK, Jiří; ŠALOUNOVÁ, Dana: Approximation Spacesin Non-commutative Generalizations of $MV$-algebras. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 54 (2015), issue 2, pp. 83-92
• Nowak, Piotr; Hryniewicz, Olgierd: Generalized versions of MV-algebraic central limit theorems. (English). Kybernetika, vol. 51 (2015), issue 5, pp. 765-783
• Rachůnek, Jiří; Svoboda, Zdeněk: Interior and Closure Operators on Commutative Bounded Residuated Lattices. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 52 (2013), issue 1, pp. 121-134
• Cintula, Petr; Kroupa, Tomáš: Simple games in Łukasiewicz calculus and their cores. (English). Kybernetika, vol. 49 (2013), issue 3, pp. 404-419
• Olejček, Vladimír: Fractal construction of an atomic Archimedean effect algebra with non-atomic subalgebra of sharp elements. (English). Kybernetika, vol. 48 (2012), issue 2, pp. 294-298
• Rachůnek, Jiří; Svoboda, Zdeněk: Monotone modal operators on bounded integral residuated lattices. (English). Mathematica Bohemica, vol. 137 (2012), issue 3, pp. 333-345
• Riečan, Beloslav: A strengthening of the Poincaré recurrence theorem on MV-algebras. (English). In: Brandts, J., Chleboun, J., Korotov, S., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Applications of Mathematics 2012, In honor of the 60th birthday of Michal Křížek. Proceedings. Prague, May 2-5, 2012. Institute of Mathematics AS CR, Prague, 2012. pp. 236-242
• Riečanová, Zdenka: Lattice effect algebras densely embeddable into complete ones. (English). Kybernetika, vol. 47 (2011), issue 1, pp. 100-109
• Rachůnek, Jiří; Šalounová, Dana: Classes of fuzzy filters of residuated lattice ordered monoids. (English). Mathematica Bohemica, vol. 135 (2010), issue 1, pp. 81-97
• Olejček, Vladimír: Every uniformly Archimedean atomic MV-effect algebra is sharply dominating. (English). Kybernetika, vol. 46 (2010), issue 6, pp. 948-952
• Chajda, Ivan; Kolařík, Miroslav; Švrček, Filip: Implication and equivalential reducts of basic algebras. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 49 (2010), issue 2, pp. 21-36
• Paseka, Jan; Riečanová, Zdenka: Atomicity of lattice effect algebras and their sub-lattice effect algebras. (English). Kybernetika, vol. 45 (2009), issue 6, pp. 1040-1051
• Chajda, Ivan; Kolařík, Miroslav: Basic pseudorings. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 48 (2009), issue 1, pp. 25-31
• Chajda, Ivan: A characterization of commutative basic algebras. (English). Mathematica Bohemica, vol. 134 (2009), issue 2, pp. 113-120
• Rachůnek, Jiří; Šalounová, Dana: Classes of filters in generalizations of commutative fuzzy structures. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 48 (2009), issue 1, pp. 93-107
• Chajda, Ivan: Conjugated algebras. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 48 (2009), issue 1, pp. 17-23
• Barbieri, Giuseppina: Convergent regular measures on MV–algebras. (English). Kybernetika, vol. 45 (2009), issue 6, pp. 1052-1058
• Jakubík, Ján: Projectability and weak homogeneity of pseudo effect algebras. (English). Czechoslovak Mathematical Journal, vol. 59 (2009), issue 1, pp. 183-196
• Jakubík, Ján: Direct product decompositions of bounded commutative residuated $\ell$-monoids. (English). Czechoslovak Mathematical Journal, vol. 58 (2008), issue 4, pp. 1129-1143
• Jakubík, Ján: Direct summands and retract mappings of generalized $MV$-algebras. (English). Czechoslovak Mathematical Journal, vol. 58 (2008), issue 1, pp. 183-202
• Riečanová, Zdenka: The existence of states on every Archimedean atomic lattice effect algebra with at most five blocks. (English). Kybernetika, vol. 44 (2008), issue 3, pp. 430-440
• Švrček, Filip: Interior and closure operators on bounded residuated lattice ordered monoids. (English). Czechoslovak Mathematical Journal, vol. 58 (2008), issue 2, pp. 345-357
• Chajda, Ivan; Kühr, Jan: Join-semilattices whose sections are residuated po-monoids. (English). Czechoslovak Mathematical Journal, vol. 58 (2008), issue 4, pp. 1107-1127
• Rachůnek, Jiří; Šalounová, Dana: Modal operators on bounded residuated $\rm l$-monoids. (English). Mathematica Bohemica, vol. 133 (2008), issue 3, pp. 299-311
• Chajda, Ivan; Kolařík, Miroslav: Monadic basic algebras. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 47 (2008), issue 1, pp. 27-36
• Emanovský, P.; Rachůnek, J.: A non commutative generalization of $\star$-autonomous lattices. (English). Czechoslovak Mathematical Journal, vol. 58 (2008), issue 3, pp. 725-740
• Jakubík, Ján: On some types of radical classes. (English). Czechoslovak Mathematical Journal, vol. 58 (2008), issue 3, pp. 833-848
• Olejček, Vladimír: An atomic MV-effect algebra with non-atomic center. (English). Kybernetika, vol. 43 (2007), issue 3, pp. 343-346
• Jakubík, Ján: Banaschewski’s theorem for generalized $MV$-algebras. (English). Czechoslovak Mathematical Journal, vol. 57 (2007), issue 4, pp. 1099-1105
• Chajda, I.; Kolařík, M.: Directoids with sectionally antitone involutions and skew MV-algebras. (English). Mathematica Bohemica, vol. 132 (2007), issue 4, pp. 407-422
• Močkoř, Jiří: Extensional subobjects in categories of $\Omega$-fuzzy sets. (English). Czechoslovak Mathematical Journal, vol. 57 (2007), issue 2, pp. 631-645
• Jasem, Milan: Isometries and direct decompositions of pseudo MV-algebras. (English). Mathematica Slovaca, vol. 57 (2007), issue 2, pp. [107]-118
• Jakubík, Ján: Isometries of generalized $MV$-algebras. (English). Czechoslovak Mathematical Journal, vol. 57 (2007), issue 1, pp. 161-171
• Rachůnek, Jiří; Šalounová, Dana: Local bounded commutative residuated $\ell$-monoids. (English). Czechoslovak Mathematical Journal, vol. 57 (2007), issue 1, pp. 395-406
• Rachůnek, Jiří; Šalounová, Dana: Modal operators on bounded commutative residuated $\ell $-monoids. (English). Mathematica Slovaca, vol. 57 (2007), issue 4, pp. [321]-332
• Chajda, Ivan; Kühr, Jan: A non-associative generalization of MV-algebras. (English). Mathematica Slovaca, vol. 57 (2007), issue 4, pp. [301]-312
• Jakubík, Ján: On a cancellation rule for subdirect products of lattice ordered groups and of $\operatorname {GMV}$-algebras. (English). Mathematica Slovaca, vol. 57 (2007), issue 3, pp. [201]-210
• Jakubík, Ján: On idempotent modifications of $MV$-algebras. (English). Czechoslovak Mathematical Journal, vol. 57 (2007), issue 1, pp. 243-252
• Riečan, Beloslav: On some contributions to quantum structures by fuzzy sets. (English). Kybernetika, vol. 43 (2007), issue 4, pp. 481-490
• Kühr, J.; Rachůnek, J.: Weak Boolean products of bounded dually residuated $l$-monoids. (English). Mathematica Bohemica, vol. 132 (2007), issue 3, pp. 225-236
• Švrček, Filip: Additive closure operators on abelian unital $l$-groups. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 45 (2006), issue 1, pp. 153-158
• Dvurečenskij, Anatolij; Hyčko, Marek: Algebras on subintervals of BL-algebras, pseudo BL-algebras and bounded residuated $\ell $-monoids. (English). Mathematica Slovaca, vol. 56 (2006), issue 2, pp. 125-144
• Riečanová, Zdenka: Archimedean atomic lattice effect algebras in which all sharp elements are central. (English). Kybernetika, vol. 42 (2006), issue 2, pp. 143-150
• Rachůnek, Jiří; Slezák, Vladimír: Bounded dually residuated lattice ordered monoids as a generalization of fuzzy structures. (English). Mathematica Slovaca, vol. 56 (2006), issue 2, pp. 223-233
• Kalina, Martin; Nánásiová, Oľga: Conditional states and joint distributions on MV-algebras. (English). Kybernetika, vol. 42 (2006), issue 2, pp. 129-142
• Kühr, Jan: Finite-valued dually residuated lattice-ordered monoids. (English). Mathematica Slovaca, vol. 56 (2006), issue 4, pp. 397-408
• Chajda, Ivan; Kühr, Jan: GMV-algebras and meet-semilattices with sectionally antitone permutations. (English). Mathematica Slovaca, vol. 56 (2006), issue 3, pp. 275-288
• Harlenderová, Magdalena; Rachůnek, Jiří: Modal operators on MV-algebras. (English). Mathematica Bohemica, vol. 131 (2006), issue 1, pp. 39-48
• Rachůnek, Jiří; Slezák, Vladimír: Negation in bounded commutative $DR\ell$-monoids. (English). Czechoslovak Mathematical Journal, vol. 56 (2006), issue 2, pp. 755-763
• Chajda, Ivan; Kühr, Jan: A note on interval $MV$-algebras. (English). Mathematica Slovaca, vol. 56 (2006), issue 1, pp. 47-52
• Jakubík, Ján: On a homogeneity condition for $MV$-algebras. (English). Czechoslovak Mathematical Journal, vol. 56 (2006), issue 1, pp. 79-98
• Jakubík, Ján: On interval subalgebras of generalized MV-algebras. (English). Mathematica Slovaca, vol. 56 (2006), issue 4, pp. 387-395
• Jakubík, Ján: On intervals and the dual of a pseudo MV-algebra. (English). Mathematica Slovaca, vol. 56 (2006), issue 2, pp. 213-221
• Dvurečenskij, Anatolij; Rachůnek, Jiří: On Riečan and Bosbach states for bounded non-commutative $R\ell $-monoids. (English). Mathematica Slovaca, vol. 56 (2006), issue 5, pp. 487-500
• Mesiar, Radko; Klement, Erich Peter: Open problems posed at the eighth international conference on fuzzy set theory and applications. (English). Kybernetika, vol. 42 (2006), issue 2, pp. 225-235
• Marra, Vincenzo; Mundici, Daniele: Riemann average truth-value of Łukasiewicz formulas. (English). Mathematica Slovaca, vol. 56 (2006), issue 5, pp. 511-524
• Jakubík, Ján: Sequential convergences on pseudo MV-algebras. (English). Mathematica Slovaca, vol. 56 (2006), issue 5, pp. 501-510
• Foulis, David J.: Sharp and fuzzy elements of an RC-group. (English). Mathematica Slovaca, vol. 56 (2006), issue 5, pp. 525-541
• Jakubík, Ján: Weak homogeneity and Pierce’s theorem for $MV$-algebras. (English). Czechoslovak Mathematical Journal, vol. 56 (2006), issue 4, pp. 1215-1227
• Jakubík, Ján: Direct product decompositions of pseudo effect algebras. (English). Mathematica Slovaca, vol. 55 (2005), issue 4, pp. 379-398
• Rachůnek, Jiří; Šalounová, Dana: Direct product factors in GMV-algebras. (English). Mathematica Slovaca, vol. 55 (2005), issue 4, pp. 399-407
• Di Nola, Antonio; Dvurečenskij, Anatolij; Hyčko, Marek; Manara, Corrado: Entropy on effect algebras with Riesz decomposition property II: MV-algebras. (English). Kybernetika, vol. 41 (2005), issue 2, pp. [161]-176
• Di Nola, Antonio; Dvurečenskij, Anatolij; Hyčko, Marek; Manara, Corrado: Entropy on effect algebras with the Riesz decomposition property I: Basic properties. (English). Kybernetika, vol. 41 (2005), issue 2, pp. [143]-160
• Riečanová, Zdenka; Marinová, Ivica: Generalized homogeneous, prelattice and MV-effect algebras. (English). Kybernetika, vol. 41 (2005), issue 2, pp. [129]-142
• Kühr, Jan: Ideals of noncommutative $DR\ell$-monoids. (English). Czechoslovak Mathematical Journal, vol. 55 (2005), issue 1, pp. 97-111
• Kroupa, Tomáš: Many-dimensional observables on Łukasiewicz tribe: constructions, conditioning and conditional independence. (English). Kybernetika, vol. 41 (2005), issue 4, pp. [451]-468
• Chajda, I.; Halaš, R.; Kühr, J.; Vanžurová, A.: Normalization of $MV$-algebras. (English). Mathematica Bohemica, vol. 130 (2005), issue 3, pp. 283-300
• Jakubík, Ján: Isometries of $MV$-algebras. (English). Mathematica Slovaca, vol. 54 (2004), issue 1, pp. 43-48
• Rachůnek, Jiří; Šalounová, Dana: Lexicographic extensions of dually residuated lattice ordered monoids. (English). Mathematica Bohemica, vol. 129 (2004), issue 3, pp. 283-295
• Dvurečenskij, Anatolij: Lorenzen's theorem for pseudo-effect algebras. (English). Mathematica Slovaca, vol. 54 (2004), issue 1, pp. 23-42
• Nola, Antonio Di; Dvurečenskij, Anatolij: $MV$-test spaces versus $MV$-algebras. (English). Czechoslovak Mathematical Journal, vol. 54 (2004), issue 1, pp. 189-203
• Jurečková, Mária; Chovanec, Ferdinand: On some properties of submeasures on MV-algebras. (English). Mathematica Slovaca, vol. 54 (2004), issue 2, pp. 161-167
• Švrček, Filip: Operators on $GMV$-algebras. (English). Mathematica Bohemica, vol. 129 (2004), issue 4, pp. 337-347
• Kühr, Jan: Spectral topologies of dually residuated lattice-ordered monoids. (English). Mathematica Bohemica, vol. 129 (2004), issue 4, pp. 379-391
• Dvurečenskij, Anatolij: States on pseudo-effect algebras with general comparability. (English). Kybernetika, vol. 40 (2004), issue 4, pp. [397]-420
• Pulmannová, Sylvia: Blocks in homogeneous effect algebras and MV-algebras. (English). Mathematica Slovaca, vol. 53 (2003), issue 5, pp. 525-539
• Bělohlávek, Radim: Boolean part of BL-algebras. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 42 (2003), issue 1, pp. 7-11
• de Simone, A.; Mundici, D.; Navara, M.: A Cantor-Bernstein theorem for $\sigma$-complete MV-algebras. (English). Czechoslovak Mathematical Journal, vol. 53 (2003), issue 2, pp. 437-447
• Jakubík, Ján: Convex chains in a pseudo MV-algebra. (English). Czechoslovak Mathematical Journal, vol. 53 (2003), issue 1, pp. 113-125
• Jakubík, Ján: Higher degrees of distributivity in $MV$-algebras. (English). Czechoslovak Mathematical Journal, vol. 53 (2003), issue 3, pp. 641-653
• Šalounová, Dana: Lex-ideals of DR$\ell $-monoids and GMV-algebras. (English). Mathematica Slovaca, vol. 53 (2003), issue 4, pp. 321-330
• Jakubík, Ján: Maximal completion of a pseudo MV-algebra. (English). Archivum Mathematicum, vol. 39 (2003), issue 2, pp. 141-161
• Jakubík, Ján: On free $MV$-algebras. (English). Czechoslovak Mathematical Journal, vol. 53 (2003), issue 2, pp. 311-317
• Jakubík, Ján: On varieties of pseudo $MV$-algebras. (English). Czechoslovak Mathematical Journal, vol. 53 (2003), issue 4, pp. 1031-1040
• Kühr, Jan: Prime ideals and polars in DR$\ell $-monoids and BL-algebras. (English). Mathematica Slovaca, vol. 53 (2003), issue 3, pp. 233-246
• Kühr, Jan: Pseudo $BL$-algebras and $DR\ell $-monoids. (English). Mathematica Bohemica, vol. 128 (2003), issue 2, pp. 199-208
• Rachůnek, Jiří: Radicals and complete distributivity in relatively normal lattices. (English). Mathematica Bohemica, vol. 128 (2003), issue 4, pp. 401-410
• Gaitán, Hernando: Subdirectly irreducible MV-algebras. (English). Czechoslovak Mathematical Journal, vol. 53 (2003), issue 3, pp. 631-639
• Kühr, Jan: Archimedean GMV-chains. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 41 (2002), issue 1, pp. 83-88
• Jakubík, Ján: General comparability of pseudo MV-algebras. (English). Mathematica Slovaca, vol. 52 (2002), issue 1, pp. 13-17
• Rachůnek, Jiří: A non-commutative generalization of $MV$-algebras. (English). Czechoslovak Mathematical Journal, vol. 52 (2002), issue 2, pp. 255-273
• Jakubík, Ján: On intervals and isometries of $MV$-algebras. (English). Czechoslovak Mathematical Journal, vol. 52 (2002), issue 3, pp. 651-663
• Jakubík, Ján: On product $MV$-algebras. (English). Czechoslovak Mathematical Journal, vol. 52 (2002), issue 4, pp. 797-810
• Jakubík, Ján: On the $\alpha$-completeness of pseudo MV-algebras. (English). Mathematica Slovaca, vol. 52 (2002), issue 5, pp. 511-516
• Rachůnek, Jiří: Radicals in non-commutative generalizations of MV-algebras. (English). Mathematica Slovaca, vol. 52 (2002), issue 2, pp. 135-144
• Georgescu, George; Ploščica, Miroslav: Values and minimal spectrum of an algebraic lattice. (English). Mathematica Slovaca, vol. 52 (2002), issue 3, pp. 247-253
• Rachůnek, Jiří: Connections between ideals of non-commutative generalizations of $MV$-algebras and ideals of their underlying lattices. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 40 (2001), issue 1, pp. 195-200
• Jakubík, Ján: Convex mappings of archimedean MV-algebras. (English). Mathematica Slovaca, vol. 51 (2001), issue 4, pp. 383-391
• Jakubík, Ján: Direct product decompositions of pseudo $MV$-algebras. (English). Archivum Mathematicum, vol. 37 (2001), issue 2, pp. 131-142
• Di Nola, Antonio; Georgescu, George: Ideals, $\ell $-rings and $\operatorname {MV}^\star $-algebras. (English). Mathematica Slovaca, vol. 51 (2001), issue 5, pp. 479-506
• Jakubík, Ján: On chains in $MV$-algebras. (English). Mathematica Slovaca, vol. 51 (2001), issue 2, pp. 151-166
• Rachůnek, Jiří: Polars and annihilators in representable ${\rm DRl}$-monoids and ${\rm MV}$-algebras. (English). Mathematica Slovaca, vol. 51 (2001), issue 1, pp. 1-12
• Jakubík, Ján: Regular representations of semisimple MV-algebras by continuous real functions. (English). Mathematica Slovaca, vol. 51 (2001), issue 3, pp. 269-274
• Jakubík, Ján: State-homomorphisms on $MV$-algebras. (English). Czechoslovak Mathematical Journal, vol. 51 (2001), issue 3, pp. 609-616
• Jakubík, Ján: Strong subdirect products of MV-algebras. (English). Mathematica Slovaca, vol. 51 (2001), issue 5, pp. 507-520
• Rachůnek, Jiří; Švrček, Filip: MV-algebras with additive closure operators. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 39 (2000), issue 1, pp. 183-189
• Jakubík, Ján: Cantor-Bernstein theorem for $MV$-algebras. (English). Czechoslovak Mathematical Journal, vol. 49 (1999), issue 3, pp. 517-526
• Jakubík, Ján: Distinguished extensions of an $MV$-algebra. (English). Czechoslovak Mathematical Journal, vol. 49 (1999), issue 4, pp. 867-876
• Jakubík, Ján: Radical classes of $MV$-algebras. (English). Czechoslovak Mathematical Journal, vol. 49 (1999), issue 1, pp. 191-211
• Jakubík, Ján: Subdirect product decompositions of $MV$-algebras. (English). Czechoslovak Mathematical Journal, vol. 49 (1999), issue 1, pp. 163-173
• Jakubík, Ján: Complete generators and maximal completions of $MV$-algebras. (English). Czechoslovak Mathematical Journal, vol. 48 (1998), issue 3, pp. 597-608
• Rachůnek, Jiří: DRl-semigroups and $MV$-algebras. (English). Czechoslovak Mathematical Journal, vol. 48 (1998), issue 2, pp. 365-372
• Rachůnek, Jiří: MV-algebras are categorically equivalent to a class of $\scr{DR}l\sb {1(i)}$-semigroups. (English). Mathematica Bohemica, vol. 123 (1998), issue 4, pp. 437-441
• Jakubík, Ján: On archimedean $MV$-algebras. (English). Czechoslovak Mathematical Journal, vol. 48 (1998), issue 3, pp. 575-582