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20M12 Ideal theory (59 articles)

• Halter-Koch, Franz: Ideal-theoretic characterizations of valuation and Prüfer monoids. (English). Archivum Mathematicum, vol. 40 (2004), issue 1, pp. 41-46
• Rosales, J. C.; García-García, J. I.: Principal ideals of finitely generated commutative monoids. (English). Czechoslovak Mathematical Journal, vol. 52 (2002), issue 1, pp. 75-85
• Thron, Reinhard; Koppitz, Jörg: Closure operators and generating sets. (English). Mathematica Slovaca, vol. 51 (2001), issue 3, pp. 259-268
• Fabrici, Imrich: A note on principal ideals and $\Cal J$-classes in the direct product of two semigroups. (English). Czechoslovak Mathematical Journal, vol. 50 (2000), issue 1, pp. 91-98
• Nochefranca, L.; Shum, K. P.: Pseudo-symmetric ideals of semigroup and their radicals. (English). Czechoslovak Mathematical Journal, vol. 48 (1998), issue 4, pp. 727-735
• Dumesnil, Jill A.: On $m$-semigroups. (English). Czechoslovak Mathematical Journal, vol. 47 (1997), issue 1, pp. 33-45
• Abrhan, Imrich: On minimal ideals in semigroups with respect to their subsets. I. (English). Mathematica Bohemica, vol. 122 (1997), issue 1, pp. 1-12
• Magill, K. D., Jr.: The largest proper regular ideal of $S(X)$. (English). Czechoslovak Mathematical Journal, vol. 46 (1996), issue 1, pp. 73-82
• Satko, Ladislav: On totally SLA-simple semigroups. (English). Mathematica Slovaca, vol. 46 (1996), issue 4, pp. 413-417
• Močkoř, Jiří; Kontolatou, Angeliki: Some remarks on Lorenzen $r$-group of partly ordered groups. (English). Czechoslovak Mathematical Journal, vol. 46 (1996), issue 3, pp. 537-552
• Satko, Ladislav; Grošek, Otokar: On SLA-ideals. (English). Mathematica Slovaca, vol. 45 (1995), issue 1, pp. 45-52
• Fabrici, Imrich: $\cal J$-classes in the direct product of two semigroups. (English). Czechoslovak Mathematical Journal, vol. 44 (1994), issue 2, pp. 325-335
• Kepka, Tomáš: Ideals in selfdistributive groupoids. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 35 (1994), issue 1, pp. 187-191
• Abrhan, Imrich: On minimal ideals in semigroups with respect to their subsets. II. (English). Mathematica Slovaca, vol. 44 (1994), issue 4, pp. 463-478
• Abrhan, Imrich; Satko, Ladislav: $r$-systems of unary algebras. I: On maximal and greatest $J$-classes of the direct product of unary algebras. (English). Mathematica Slovaca, vol. 44 (1994), issue 1, pp. 55-68
• Chronowski, Antoni: Some properties of $\alpha$-ideals and generalized $\alpha$-ideals, $n$-semigroups and $n$-groups. (English). Czechoslovak Mathematical Journal, vol. 44 (1994), issue 1, pp. 39-46
• Fabrici, Imrich: One-sided principal ideals in the direct product of two semigroups. (English). Mathematica Bohemica, vol. 118 (1993), issue 4, pp. 337-342
• Lai, C. K.; Shum, K. P.: A note in inverse and dual semigroups. (English). Czechoslovak Mathematical Journal, vol. 42 (1992), issue 1, pp. 7-10
• Fabrici, Imrich: Principal two-sided ideals in the direct product of two semigroups. (English). Czechoslovak Mathematical Journal, vol. 41 (1991), issue 3, pp. 411-421
• Catino, Francesco: On complete $\alpha$-ideals in semigroups. (English). Czechoslovak Mathematical Journal, vol. 40 (1990), issue 1, pp. 155-158
• Lai, C. K.; Shum, Kar-Ping: Characterizations of dual semigroups. (English). Czechoslovak Mathematical Journal, vol. 39 (1989), issue 4, pp. 578-584
• Miccoli, Maria Maddalena; Pondělíček, Bedřich: On $\alpha$-ideals and generalized $\alpha$-ideals in semigroups. (English). Czechoslovak Mathematical Journal, vol. 39 (1989), issue 3, pp. 522-527
• Magill, Kenneth D., Jr.: On the ideals of the semigroup of the 1-sphere. (English). Czechoslovak Mathematical Journal, vol. 39 (1989), issue 2, pp. 248-261
• Kmeť, František: Radicals and their left ideal analogues in a semigroup. (English). Mathematica Slovaca, vol. 38 (1988), issue 2, pp. 139-145
• Kmeť, František: The greatest Archimedean ideal in a semigroup. (English). Mathematica Slovaca, vol. 37 (1987), issue 1, pp. 43-46
• Kossaczký, Igor: Green's relations and regular elements of transformation semigroups. (English). Mathematica Slovaca, vol. 37 (1987), issue 2, pp. 159-168
• Šulka, Robert: Nilpotency in semigroups and sublattices of their Booleans. (English). Mathematica Slovaca, vol. 37 (1987), issue 2, pp. 147-158
• Pondělíček, Bedřich: Note on nilpotency in semigroups. (English). Mathematica Slovaca, vol. 37 (1987), issue 2, pp. 205-208
• Johnson, E. W.: Primary factorization in semigroups. (English). Czechoslovak Mathematical Journal, vol. 36 (1986), issue 2, pp. 180-184
• Schwarz, Štefan: Right compositions of semigroups. (English). Mathematica Slovaca, vol. 36 (1986), issue 1, pp. 3-14
• Fabrici, Imrich: Erratum to the paper "Semigroups containing covered one-sided ideals". (English). Mathematica Slovaca, vol. 35 (1985), issue 2, pp. 211
• Pilecka-Oborska, Barbara; Serafin, Stanisław: On $x$-operators in an arbitrary semigroup. (English). Archivum Mathematicum, vol. 21 (1985), issue 1, pp. 13-22
• Karásek, Jiří: A remark concerning $x$-systems. (English). Archivum Mathematicum, vol. 21 (1985), issue 3, pp. 177-179
• Kmeť, František: A note on the maximal semilattice of an R*NC-semigroup decomposition. (English). Mathematica Slovaca, vol. 34 (1984), issue 3, pp. 295-298
• Šulka, Robert: On three lattices that belong to every semigroup. (English). Mathematica Slovaca, vol. 34 (1984), issue 2, pp. 217-228
• Cherubini, Alessandra; Varisco, Ada: Semigroups and rings whose proper one-sided ideals are power joined. (English). Czechoslovak Mathematical Journal, vol. 34 (1984), issue 1, pp. 121-125
• Fabrici, Imrich: Semigroups containing covered two-sided ideals. (English). Mathematica Slovaca, vol. 34 (1984), issue 4, pp. 355-363
• Abrhan, Imrich: О простых идеалах в группоидах и в мультипликативных полугруппах классов вычетов (mod m). (Russian) [On prime ideals in groupoids and in multiplicative semigroups of residue classes (mod m)]. Mathematica Slovaca, vol. 34 (1984), issue 2, pp. 121-133
• Šmarda, Bohumil; Niemenmaa, Markku: Normal subgroups as ideals. (English). Archivum Mathematicum, vol. 19 (1983), issue 2, pp. 109-111
• Andréka, Hajnal; Németi, István; Šulka, Robert: Remark on one-sided $A$-ideals of semigroups. (English). Mathematica Slovaca, vol. 33 (1983), issue 2, pp. 231-235
• Šulka, Robert: The minimal right $A$-ideal of the free semigroup on a countable set. (English). Mathematica Slovaca, vol. 32 (1982), issue 3, pp. 301-304
• Kmeť, František: On radicals in semigroups. (English). Mathematica Slovaca, vol. 32 (1982), issue 2, pp. 183-188
• Kmeť, František: Quasicommutative weakly primary semigroups. (English). Mathematica Slovaca, vol. 32 (1982), issue 4, pp. 435-440
• Tilidetzke, Robert: A characterization of 0-minimal $(m, n)$-ideals. (English). Czechoslovak Mathematical Journal, vol. 31 (1981), issue 1, pp. 48-52
• Fabrici, Imrich; Macko, Tibor: On bases and maximal ideals in semigroups. (English). Mathematica Slovaca, vol. 31 (1981), issue 2, pp. 115-120
• Kmeť, František: On radicals of the semigroup of triangular matrices. (English). Mathematica Slovaca, vol. 31 (1981), issue 4, pp. 365-368
• Fabrici, Imrich: Semigroups containing covered one-sided ideals. (English). Mathematica Slovaca, vol. 31 (1981), issue 3, pp. 225-231
• Šmarda, Bohumil: Ideal systems of intersection and product type. (English). Archivum Mathematicum, vol. 16 (1980), issue 1, pp. 59-65
• Luedeman, John K.: Closure operations and semigroups of quotients. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 20 (1979), issue 3, pp. 529-537
• Šulka, Robert: Remark on partially ordered sets, universal algebras and semigroups. (English). Mathematica Slovaca, vol. 29 (1979), issue 2, pp. 131-139
• Sullivan, Robert P.: Ideals in transformation semigroups. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 19 (1978), issue 3, pp. 431-446
• Abrhan, Imrich: О $\cal I$-подалгебрах в унарных алгебрах, о простых идеалах и $\cal I$-идеалах в группоидах и полугруппах. (Russian) [$\cal I$-subalgebras in unary algebras, prime ideals and ${\cal I}$-ideals in groupoids and in semigroups]. Mathematica Slovaca, vol. 28 (1978), issue 1, pp. 61-80
• Abrhan, Imrich: O ($H,T$)-ideáloch direktného súčinu pologrúp. (Slovak) [On ($H,T$)-Ideals of the Direct Product of Semigroups]. Matematický časopis, vol. 21 (1971), issue 3, pp. 199-213
• Abrhan, Imrich: Poznámka k maximálnym ($H_1,H_2$)-ideálom v pologrupách. (Slovak) [Note on the Maximal $(H_1,H_2)$-Ideals of Semigroups]. Matematický časopis, vol. 21 (1971), issue 3, pp. 214-218
• Šulka, Robert: The Maximal Semilattice Decomposition of a Semigroup. (English). Matematický časopis, vol. 21 (1971), issue 4, pp. 269-276
• Pondělíček, Bedřich: Right Prime Ideals and Maximal Right Ideals in Semigroups. (English). Matematický časopis, vol. 21 (1971), issue 2, pp. 87-90
• Krajňáková, Dorota: On Dual Semigroups. (English). Matematický časopis, vol. 20 (1970), issue 2, pp. 87-91
• Kolibiarová, Blanka: O pologrupách, ktorých každý ľavý hlavný ideál obsahuje jednotku. (Slovak). Matematicko-fyzikálny časopis, vol. 11 (1961), issue 4, pp. 275-281
• Hrmová, Renáta: Pologrupy, v ktorých každý ľavý vlastný ideál je grupou. (Slovak) [Semigroups in which every proper left ideal is a group]. Matematicko-fyzikálny časopis, vol. 11 (1961), issue 1, pp. 75-80