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Title: Modularity and distributivity of tolerance lattices of commutative separative semigroups (English)
Author: Pondělíček, Bedřich
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 35
Issue: 2
Year: 1985
Pages: 333-337
Summary lang: Russian
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Category: math
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MSC: 06C05
MSC: 06D05
MSC: 20M14
idZBL: Zbl 0573.20062
idMR: MR787135
DOI: 10.21136/CMJ.1985.102021
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Date available: 2008-06-09T15:05:25Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/102021
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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., Zelinka В.: Lattices of tolerances.Čas. pěst. mat. 102 (1977), 10-24. Zbl 0354.08011, MR 0450152
Reference: [3] Clifford A. H., Preston G. В.: The algebraic theory of semigroups.Amer. Math. Soc., Providence, R. I. Vol. I (1961); Vol. II (1967). Zbl 0111.03403
Reference: [4] Pondělíček В.: Modularity and distributivity of tolerances lattices of commutative inverse semigroups.Czech. Math. J. (to appear).
Reference: [5] Pondělíček В.: Atomicity of tolerance lattices of commutative semigroups.Czech. Math. J. 33 (108) 1983,485-498. MR 0718931
Reference: [6] Ore O.: Structures and group theory II.Duke Math. J. 4 (1938), 247-269. Zbl 0020.34801, MR 1546048, 10.1215/S0012-7094-38-00419-3
Reference: [7] Zelinka В.: Tolerance in algebraic structures II.Czech. Math. J. 25 (100) 1975, 175-178. Zbl 0316.08001, MR 0457323
Reference: [8] Hamilton H.: Modularity and distributivity of the congruence lattice of a commutative separative semigroup.Math. Japonica 27, No. 5 (1982), 581 - 589. Zbl 0492.20042, MR 0675554
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