Title:
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On direct and subdirect product decompositions of partially ordered sets (English) |
Author:
|
Jakubík, Ján |
Language:
|
English |
Journal:
|
Mathematica Slovaca |
ISSN:
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0139-9918 |
Volume:
|
52 |
Issue:
|
4 |
Year:
|
2002 |
Pages:
|
377-395 |
. |
Category:
|
math |
. |
MSC:
|
06A06 |
MSC:
|
06A12 |
MSC:
|
06B05 |
idZBL:
|
Zbl 1016.06002 |
idMR:
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MR1940243 |
. |
Date available:
|
2009-09-25T14:09:25Z |
Last updated:
|
2012-08-01 |
Stable URL:
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http://hdl.handle.net/10338.dmlcz/129466 |
. |
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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