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06B10 Ideals, congruence relations (95 articles)

• Shroff, Rupal: Direct summands of Goldie extending elements in modular lattices. (English). Mathematica Bohemica, vol. 147 (2022), issue 3, pp. 359-368
• Kondo, Michiro: Some properties of state filters in state residuated lattices. (English). Mathematica Bohemica, vol. 146 (2021), issue 4, pp. 375-395
• Đokić, Dragan: A note on the distribution of angles associated to indefinite integral binary quadratic forms. (English). Czechoslovak Mathematical Journal, vol. 69 (2019), issue 2, pp. 443-452
• Sharafi, Amir Hossein; Borzooei, Rajb Ali: Quotient structures in lattice effect algebras. (English). Kybernetika, vol. 55 (2019), issue 5, pp. 879-895
• Parsapour, Atossa; Ahmad Javaheri, Khadijeh: When a line graph associated to annihilating-ideal graph of a lattice is planar or projective. (English). Czechoslovak Mathematical Journal, vol. 68 (2018), issue 1, pp. 19-34
• Nimbhorkar, Shriram K.; Shroff, Rupal C.: Goldie extending elements in modular lattices. (English). Mathematica Bohemica, vol. 142 (2017), issue 2, pp. 163-180
• Růžička, Pavel: The graphs of join-semilattices and the shape of congruence lattices of particle lattices. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 58 (2017), issue 3, pp. 275-291
• Nimbhorkar, Shriram K.; Shroff, Rupal C.: Ojective ideals in modular lattices. (English). Czechoslovak Mathematical Journal, vol. 65 (2015), issue 1, pp. 161-178
• Begum, S. N.; Noor, A. S. A.: Congruence kernels of distributive PJP-semilattices. (English). Mathematica Bohemica, vol. 136 (2011), issue 3, pp. 225-239
• Bhatta, S. Parameshwara; Ramananda, H. S.: Natural extension of a congruence of a lattice to its lattice of convex sublattices. (English). Archivum Mathematicum, vol. 47 (2011), issue 2, pp. 133-138
• Snášel, Václav; Jukl, Marek: Congruences in ordered sets and LU compatible equivalences. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 48 (2009), issue 1, pp. 153-156
• Kharat, Vilas S.; Mokbel, Khalid A.: Primeness and semiprimeness in posets. (English). Mathematica Bohemica, vol. 134 (2009), issue 1, pp. 19-30
• Halaš, Radomír; Plojhar, Luboš: On systems of congruences on principal filters of orthomodular implication algebras. (English). Mathematica Bohemica, vol. 132 (2007), issue 4, pp. 423-435
• Kaarli, Kalle; Kuchmei, Vladimir: Order affine completeness of lattices with Boolean congruence lattices. (English). Czechoslovak Mathematical Journal, vol. 57 (2007), issue 4, pp. 1049-1065
• Zhang, Xiaohong; Qin, Keyun; Dudek, Wiesław A.: Ultra $LI$-Ideals in lattice implication algebras and $MTL$-algebras. (English). Czechoslovak Mathematical Journal, vol. 57 (2007), issue 2, pp. 591-605
• Grätzer, G.; Lakser, Harry: Freely adjoining a complement to a lattice. (English). Mathematica Slovaca, vol. 56 (2006), issue 1, pp. 93-104
• Lihová, Judita: Weak direct factors of lattices. (English). Mathematica Slovaca, vol. 56 (2006), issue 1, pp. 33-45
• Nekooei, R.: On finitely generated multiplication modules. (English). Czechoslovak Mathematical Journal, vol. 55 (2005), issue 2, pp. 503-510
• Balasubramani, P.: Characterizations of the $0$-distributive semilattice. (English). Mathematica Bohemica, vol. 128 (2003), issue 3, pp. 237-252
• Pióro, Konrad: Some properties of the weak subalgebra lattice of a partial algebra of a fixed type. (English). Archivum Mathematicum, vol. 38 (2002), issue 2, pp. 81-94
• Dvurečenskij, Anatolij: States on unital partially-ordered groups. (English). Kybernetika, vol. 38 (2002), issue 3, pp. [297]-318
• Qin, Keyun; Xu, Yang; Jun, Young Bae: Ultra $LI$-ideals in lattice implication algebras. (English). Czechoslovak Mathematical Journal, vol. 52 (2002), issue 3, pp. 463-468
• Radeleczki, Sándor: Weakly atomic lattices with Stonean congruence lattice. (English). Mathematica Slovaca, vol. 52 (2002), issue 5, pp. 501-510
• Ježek, Jaroslav; Slavík, Václav: Congruence lattices of finite chains with endomorphisms. (English). Mathematica Bohemica, vol. 126 (2001), issue 4, pp. 737-744
• 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: On the congruence lattice of an abelian lattice ordered group. (English). Mathematica Bohemica, vol. 126 (2001), issue 3, pp. 653-660
• Chajda, Ivan; Länger, Helmut: A simple basis of ideal terms of Brouwerian semilattices. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 40 (2001), issue 1, pp. 37-42
• Chajda, Ivan; Halaš, Radomír: Characterizing triplets for modular pseudocomplemented ordered sets. (English). Mathematica Slovaca, vol. 50 (2000), issue 5, pp. 513-524
• Chajda, Ivan: A note on congruence kernels in ortholattices. (English). Mathematica Bohemica, vol. 125 (2000), issue 2, pp. 169-172
• Chajda, Ivan; Snášel, Václav: Congruences in ordered sets. (English). Mathematica Bohemica, vol. 123 (1998), issue 1, pp. 95-100
• Gramaglia, Hector; Vaggione, Diego: A note on distributive double $p$-algebras. (English). Czechoslovak Mathematical Journal, vol. 48 (1998), issue 2, pp. 321-327
• Beran, Ladislav: Some types of implicative ideals. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 39 (1998), issue 2, pp. 219-225
• Snášel, Václav: $\lambda$-lattices. (English). Mathematica Bohemica, vol. 122 (1997), issue 3, pp. 267-272
• Grätzer, G.; Lakser, Harry; Schmidt, E. T.: Congruence representations of join-homomorphisms of distributive lattices: a short proof. (English). Mathematica Slovaca, vol. 46 (1996), issue 4, pp. 363-369
• Banaschewski, Bernhard; Gilmour, Christopher: Pseudocompactness and the cozero part of a frame. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 37 (1996), issue 3, pp. 577-587
• Chajda, Ivan: Tolerances on $q$-lattices. (English). Czechoslovak Mathematical Journal, vol. 46 (1996), issue 1, pp. 21-28
• Chajda, Ivan: Indexed annihilators in lattices. (English). Archivum Mathematicum, vol. 31 (1995), issue 4, pp. 259-262
• Chajda, Ivan; Emanovský, Petr: Modularity and distributivity of the lattice of $\Sigma$-closed subsets of an algebraic structure. (English). Mathematica Bohemica, vol. 120 (1995), issue 2, pp. 209-217
• Beran, Ladislav: On midpoints in lattices. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 36 (1995), issue 1, pp. 9-15
• Chajda, Ivan; Emanovský, Petr: $\Sigma$-isomorphic algebraic structures. (English). Mathematica Bohemica, vol. 120 (1995), issue 1, pp. 71-81
• Tischendorf, M.; Tůma, J.: Announcements of new results. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 35 (1994), issue 1, pp. 211-214
• Beran, Ladislav: Remarks on special ideals in lattices. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 35 (1994), issue 4, pp. 607-615
• Janowitz, M. F.: Tolerances, interval orders, and semiorders. (English). Czechoslovak Mathematical Journal, vol. 44 (1994), issue 1, pp. 21-38
• Chajda, Ivan: Regular lattices. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 32 (1993), issue 1, pp. 17-20
• Niederle, Josef: On $Z$-continuous tolerances of $Z$-distributive lattices. (English). Czechoslovak Mathematical Journal, vol. 42 (1992), issue 1, pp. 95-100
• Wójtowicz, Marek: On a weak Freudenthal spectral theorem. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 33 (1992), issue 4, pp. 631-643
• Niederle, Josef: On frame congruences generated by frame tolerances. (English). Archivum Mathematicum, vol. 28 (1992), issue 1, pp. 77-81
• Chen, Xiangdong: On the paracompactness of frames. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 33 (1992), issue 3, pp. 485-491
• Beran, Ladislav: On the rhomboidal heredity in ideal lattices. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 33 (1992), issue 4, pp. 723-726
• Adams, Michael E.; Beazer, Rod: Congruence properties of distributive double $p$-algebras. (English). Czechoslovak Mathematical Journal, vol. 41 (1991), issue 2, pp. 216-231
• Jakubík, Ján: Mixed product decompositions of a directed group. (English). Czechoslovak Mathematical Journal, vol. 41 (1991), issue 3, pp. 429-435
• Chajda, Ivan: Permutability of congruences in varieties with idempotent operations. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 30 (1991), issue 1, pp. 33-37
• Niederle, Josef: Notes on lattices of frame tolerances. (English). Czechoslovak Mathematical Journal, vol. 40 (1990), issue 3, pp. 468-471
• Chajda, Ivan: A principal congruence identity characterizing the variety of distributive lattices with zero. (English). Mathematica Slovaca, vol. 40 (1990), issue 2, pp. 129-131
• Niederle, Josef: Completely meet-irreducible tolerances in distributive Noetherian lattices. (English). Czechoslovak Mathematical Journal, vol. 39 (1989), issue 2, pp. 348-349
• Duda, Jaromír: Principal congruence relations and principal tolerances on varieties of lattices. (English). Mathematica Slovaca, vol. 39 (1989), issue 4, pp. 365-369
• Chajda, Ivan: Principal tolerances on lattices. (English). Czechoslovak Mathematical Journal, vol. 39 (1989), issue 1, pp. 176-180
• Grätzer, G.; Wenzel, G. H.: Tolerances, covering systems, and the axiom of choice. (English). Archivum Mathematicum, vol. 25 (1989), issue 1, pp. 27-34
• Pondělíček, Bedřich: Commutative semigroups whose lattice of tolerances is Boolean. (English). Czechoslovak Mathematical Journal, vol. 38 (1988), issue 2, pp. 226-230
• Lihová, Judita; Repaský, Karol: Congruence relations on and varieties of directed multilattices. (English). Mathematica Slovaca, vol. 38 (1988), issue 2, pp. 105-122
• Noor, Abu Saleh Abdun; Cornish, William H.: Around a neutral element in a nearlattice. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 28 (1987), issue 2, pp. 199-210
• Schweigert, Dietmar; Szymańska, Magdalena: On central relations of complete lattices. (English). Czechoslovak Mathematical Journal, vol. 37 (1987), issue 1, pp. 70-74
• Noor, Abu Saleh Abdun; Cornish, William H.: Multipliers on a nearlattice. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 27 (1986), issue 4, pp. 815-827
• Janowitz, Melvin F.: Tolerances and congruences on lattices. (English). Czechoslovak Mathematical Journal, vol. 36 (1986), issue 1, pp. 108-115
• Ramana Murty, P.V.; Raman, V.: Permutability of distributive congruence relations in a joint semilattice directed below. (English). Mathematica Slovaca, vol. 35 (1985), issue 1, pp. 43-49
• Tůma, Jiří: A simple geometric proof of a theorem on $M_n$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 26 (1985), issue 2, pp. 233-239
• Chajda, Ivan: Weakly regular lattices. (English). Mathematica Slovaca, vol. 35 (1985), issue 4, pp. 387-391
• Chajda, Ivan; Zelinka, Bohdan: Complemented tolerances on lattices. (English). Časopis pro pěstování matematiky, vol. 109 (1984), issue 1, pp. 54-59
• Bandelt, Hans-Jürgen: Tolerante Catalanzahlen. (German) [Tolerant Catalan numbers]. Archivum Mathematicum, vol. 19 (1983), issue 3, pp. 113-115
• Tulipani, Sauro: On the congruence lattice of stable algebras with definability of compact congruences. (English). Czechoslovak Mathematical Journal, vol. 33 (1983), issue 2, pp. 286-291
• Chajda, Ivan; Nieminen, Juhani; Zelinka, Bohdan: Tolerances and orderings on semilattices. (English). Archivum Mathematicum, vol. 19 (1983), issue 3, pp. 125-131
• Fourneau, René: Modularité et distributivité affaibliés dans les lattis. (French) [Weak modularity and distributivity in lattices]. Commentationes Mathematicae Universitatis Carolinae, vol. 23 (1982), issue 3, pp. 607-612
• Pócs, Jozef: Congruence relations on direct products of lattices. (English). Mathematica Slovaca, vol. 32 (1982), issue 2, pp. 173-175
• Sivák, Bohuslav: Congruences on finite lattices. (English). Mathematica Slovaca, vol. 32 (1982), issue 3, pp. 283-290
• Chajda, Ivan; Nieminen, Juhani: Direct decomposability of tolerances on lattices, semilattices and quasilattices. (English). Czechoslovak Mathematical Journal, vol. 32 (1982), issue 1, pp. 110-115
• Kopeček, Ivan: Distinguishing subsets in lattices. (English). Archivum Mathematicum, vol. 18 (1982), issue 3, pp. 145-149
• Niederle, Josef: A note on tolerance lattices of products of lattices. (English). Časopis pro pěstování matematiky, vol. 107 (1982), issue 2, pp. 114-115
• Ramana Murty, P.V.; Raman, V.: Triple construction of semilattices with $1$ admitting neutral $p$-closure operators. (English). Mathematica Slovaca, vol. 32 (1982), issue 4, pp. 367-378
• Korec, Ivan: Concrete representation of some equivalence lattices. (English). Mathematica Slovaca, vol. 31 (1981), issue 1, pp. 13-22
• Šik, František: Topology on regulators of lattice ordered groups. I. Topology induced by an $l$-group. (English). Mathematica Slovaca, vol. 31 (1981), issue 4, pp. 417-428
• Duda, Jaromír: $\varrho$-ideals in the lattice of semi $\varrho$-ideals. (English). Archivum Mathematicum, vol. 17 (1981), issue 2, pp. 73-79
• Goralčík, Pavel: O jednom pěkném algebraickém výsledku. (Czech) [On an elegant algebraic result]. Pokroky matematiky, fyziky a astronomie, vol. 25 (1980), issue 3, pp. 139-144
• Chajda, Ivan; Nieminen, Juhani: Atomicity of tolerance lattices. (English). Czechoslovak Mathematical Journal, vol. 30 (1980), issue 4, pp. 606-609
• Duda, Jaromír: Congruences generated by filters. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 21 (1980), issue 1, pp. 1-9
• Chajda, Ivan; Dalík, Josef; Niederle, Josef; Veselý, Vítězslav; Zelinka, Bohdan: How to draw tolerance lattices of finite chains. (English). Archivum Mathematicum, vol. 16 (1980), issue 3, pp. 161-165
• Niederle, Josef: Tolerance extensions in distributive lattices. (English). Archivum Mathematicum, vol. 16 (1980), issue 2, pp. 99-103
• Rozenský, Zdeněk: Verbände von Kernen der Abbildungen, die orthogonaltreu sind. (German) [The letice of congruences of mappings on a set with an orthogonality relation]. Časopis pro pěstování matematiky, vol. 104 (1979), issue 2, pp. 134-148
• Chajda, Ivan: A characterization of distributive lattices by tolerance lattices. (English). Archivum Mathematicum, vol. 15 (1979), issue 4, pp. 203-204
• Chajda, Ivan; Zelinka, Bohdan: Metrics and tolerances. (English). Archivum Mathematicum, vol. 14 (1978), issue 4, pp. 193-200
• Janowitz, Melvin F.: Note on the center of a lattice. (English). Mathematica Slovaca, vol. 28 (1978), issue 3, pp. 235-242
• Chajda, Ivan: Notes on lattice congruences. (English). Časopis pro pěstování matematiky, vol. 103 (1978), issue 3, pp. 255-258
• Chajda, Ivan: On the tolerance extension property. (English). Časopis pro pěstování matematiky, vol. 103 (1978), issue 4, pp. 327-332
• Lowen, R.: Convergence in fuzzy topological spaces. (English). In: Novák, Josef (ed.): General topology and its relations to modern analysis and algebra IV, Proceedings of the fourth Prague topological symposium, 1976. Part B: Contributed Papers. Society of Czechoslovak Mathematicians and Physicist, Praha, 1977. pp. [254]-259
• Lihová, Judita: The Lattice of all Systems of $r$-Ideals in a Set. (English). Matematický časopis, vol. 22 (1972), issue 1, pp. 50-58
• Draškovičová, Hilda: Congruence Relations on the Lattice of Partitions in a Set. (English). Matematický časopis, vol. 21 (1971), issue 2, pp. 141-153