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Title: Permutability, Distributivity of Equivalence Relations and Direct Products (English)
Author: Draškovičová, Hilda
Language: English
Journal: Matematický časopis
ISSN: 0025-5173
Volume: 23
Issue: 1
Year: 1973
Pages: 69-87
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Category: math
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MSC: 06B05
MSC: 08A05
MSC: 08B20
idZBL: Zbl 0248.08004
idMR: MR0323668
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Date available: 2009-09-25T08:21:56Z
Last updated: 2012-07-31
Stable URL: http://hdl.handle.net/10338.dmlcz/126992
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Reference: [1] BIRKHOFF G.: Lattice theory.3. ed. Providence 1967. Zbl 0153.02501, MR 0227053
Reference: [2] DRAŠKOVIČOVÁ H.: On a generalization of permutable equivalence relations.Mat. časop. 22, 1972, 297-309. Zbl 0252.08001, MR 0308006
Reference: [3] DRAŠKOVIČOVÁ H.: External characterizations of subdirect representations of algebras.Acta math. Acad. scient. hung. 23, 1972, to appear. Zbl 0248.08005, MR 0325682
Reference: [4] GRÄTZER G.: Universal algebra.1. ed., Princeton 1968. MR 0248066
Reference: [5] GRÄTZER G., SCHMIDT E. T.: Characterization of congruence lattices of abstract algebras.Acta Sci. Math. Szeged 24, 1963, 34-59. MR 0151406
Reference: [6] HASHIMOTO J.: Direct and subdirect decompositions and congruence relations.Osaka Math. J. 9, 1957, 87-112. MR 0091248
Reference: [7] KATRIŇÁK T.: Remarks on the W. C. Nemitz's paper "Semi -Boolean lattices".Notre Dame J. of Formal Logic 11, 1970, 425-430. Zbl 0185.03803, MR 0290946
Reference: [8] KOLIBIAR M.: Über direkte Produkte von Relativen.Acta Fac. rerum natur. univ. Comenianae Math. 10. III, 1965, 1-8. Zbl 0136.26002, MR 0202652
Reference: [9] KOLIBIAR M.: Distributive sublattices of a lattice.Proc. Amer. Math. Soc. 34, 1972, 359-364 Zbl 0248.06008, MR 0294189
Reference: [10] PIXLEY A. F.: Distributivity and permutability of congruence гelations in equational classes of algebras.Proc. Amer. Math. Soc. 14, 1963, 105-109. MR 0146104
Reference: [11] WENZEL G. H.: Note on a subdirect representation of universal algebras.Acta math. Acad. scient. hung. 18, 1967, 329-333. Zbl 0164.01101, MR 0218291
Reference: [12] WILLE R.: Kongruenzklassengeometrien.Lecture Notes in Mathematics vol. 113, Springer-Verlag Berlin, New York 1970. Zbl 0191.51403, MR 0262149
Reference: [13] ZARISKI O., SAMUEL P.: Commutative algebra.I. Princeton 1958. Zbl 0081.26501
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