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Title: On direct and subdirect product decompositions of partially ordered sets (English)
Author: Jakubík, Ján
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 52
Issue: 4
Year: 2002
Pages: 377-395
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Category: math
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MSC: 06A06
MSC: 06A12
MSC: 06B05
idZBL: Zbl 1016.06002
idMR: MR1940243
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Date available: 2009-09-25T14:09:25Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/129466
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Reference: [1] BENADO M.: Les ensembles partiellement ordonnees et le theoreme de Schreier II.Czechoslovak Math. J. 5 (1955), 308-344. MR 0076744
Reference: [2] BIRKHOFF G.: Lattice Theory.Colloquium Publications, Vol. XXV, Amer. Math. Soc., Providence, RI, 1967. Zbl 0153.02501, MR 0227053
Reference: [3] GRATZER G.: Universal Algebra.D. Van Nostrand Company, Inc., Princeton, 1968. MR 0248066
Reference: [4] GRATZER G.: General Lattice Theory.Akademie Verlag, Berlin, 1978. MR 0504338
Reference: [5] HALAS R.: Decompositions of directed sets with zero.Math. Slovaca 45 (1995), 9-17. Zbl 0833.06001, MR 1335835
Reference: [6] HASHIMOTO J.: On direct product decompositions of partially ordered sets.Ann. of Math. (2) 54 (1951), 315-318. MR 0043067
Reference: [7] JAKUBÍK J.: Weak product decompositions of discrete lattices.Czechoslovak Math. J. 21 (1971), 399-412. Zbl 0224.06003, MR 0286723
Reference: [8] JAKUBÍK J.: Weak product decompositions of partially ordered sets.Colloq. Math. 25 (1972), 13-26. MR 0329977
Reference: [9] JAKUBÍK J.-CSONTOOVA M.: Convex isomorphisms of directed multilattices.Math. Bohem. 118 (1993), 359-374. Zbl 0802.06008, MR 1251882
Reference: [10] JAKUBÍK J.-CSONTOOVA M.: Cancellation rule for internal direct product decompositions of a connected partially ordered set.Math. Bohem. 125 (2000), 115-122. Zbl 0967.06001, MR 1752083
Reference: [11] KOLIBIAR M.: Graph isomorphisms of semilattices.In: Contributions to General Algebra 3, Proc. Vienna Conference, 1984, Verlag Holder-Pichler-Temspsky, Wien, 1985, pp. 225-235. MR 0815129
Reference: [12] PRINGEROVA G.: Direct product decompositions of a directed set.Acta Fac. Paed. Univ. Safarik 17 (1996), 1-8. (Slovak)
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