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Title: Varieties with modular and distributive lattices of symmetric or reflexive relations (English)
Author: Chajda, Ivan
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 42
Issue: 4
Year: 1992
Pages: 623-630
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Category: math
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MSC: 06C99
MSC: 06D99
MSC: 08A60
MSC: 08B10
MSC: 08B99
MSC: 20K99
idZBL: Zbl 0778.08004
idMR: MR1182194
DOI: 10.21136/CMJ.1992.128357
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Date available: 2009-09-24T09:24:54Z
Last updated: 2020-07-29
Stable URL: http://hdl.handle.net/10338.dmlcz/128357
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Reference: [1] Chajda I.: Lattices of compatible relations.Arch. Math. (Brno) 13 (1977), 89–96. Zbl 0372.08002, MR 0463081
Reference: [2] Chajda I.: Distributivity and modularity of lattices of tolerance relations.Algebra Univ. 12 (1981), 247–255. Zbl 0469.08003, MR 0608668, 10.1007/BF02483883
Reference: [3] Chajda I.: Sublagebra modular and subalgebra distributive varieties.Periodica Mathem. Hungar (1991) (to appear).
Reference: [4] Chajda I.: Varieties having distributive lattices of quasiorders, Czech. Math. J..(1991) (to appear). MR 1087626
Reference: [5] Day A.: A characterization of modularity for congruence lattices of algebras.Canad. Math. Bull. 12 (1969), 167–173. MR 0248063, 10.4153/CMB-1969-016-6
Reference: [6] Jónsson B.: Algebras whose congruence lattices are distributive.Math. Scand. 21 (1967), 110–121. MR 0237402, 10.7146/math.scand.a-10850
Reference: [7] Pixley A. F.: Distributivity and permutability of congruences in equational class of algebras.Proc. Amer. Math. Soc. 14 (1963), 105–109. MR 0146104, 10.1090/S0002-9939-1963-0146104-X
Reference: [8] Vojvodić G., Šešelja B.: On the lattice of weak congruence relations.Alg. Univ. 25 (1988), 121–130. MR 0950740, 10.1007/BF01229965
Reference: [9] Werner H.: A Mal’cev condition on admissible relations.Alg. Univ. 3 (1973), 263. MR 0330009, 10.1007/BF02945126
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