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Title: Completely subdirect products of directed sets (English)
Author: Jakubík, Ján
Language: English
Journal: Mathematica Bohemica
ISSN: 0862-7959 (print)
ISSN: 2464-7136 (online)
Volume: 127
Issue: 1
Year: 2002
Pages: 71-81
Summary lang: English
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Category: math
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Summary: This paper deals with directly indecomposable direct factors of a directed set. (English)
Keyword: directed set
Keyword: directed group
Keyword: directly indecomposable direct factor
Keyword: completely subdirect product
MSC: 06A06
MSC: 06F15
idZBL: Zbl 0999.06002
idMR: MR1895248
DOI: 10.21136/MB.2002.133986
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Date available: 2009-09-24T21:58:12Z
Last updated: 2020-07-29
Stable URL: http://hdl.handle.net/10338.dmlcz/133986
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Reference: [1] J. Jakubík: Direct decompositions of partially ordered groups.Czechoslovak Math. J. 10 (1960), 231–243. (Russian)
Reference: [2] J. Jakubík: Weak product decompositions of discrete lattices.Czechoslovak Math. J. 21 (1971), 399–412. MR 0286723
Reference: [3] J. Jakubík: Weak product decompositions of partially ordered sets.Colloquium Math. 25 (1972), 177–190. MR 0329977, 10.4064/cm-25-2-177-190
Reference: [4] J. Jakubík: Directly indecomposable direct factors of a lattice.Math. Bohem. 121 (1996), 281–292. MR 1419882
Reference: [5] J. Jakubík: Atomicity of the Boolean algebra of direct factors of a directed set.Math. Bohem. 132 (1998), 145–162. MR 1673985
Reference: [6] L. Libkin: Direct decompositions of atomistic algebraic lattices.Algebra Univ. 33 (1995), 127–135. Zbl 0818.06004, MR 1303635, 10.1007/BF01190769
Reference: [7] F. Šik: Über subdirekte Summen geordneter Gruppen.Czechoslovak Math. J. 10 (1960), 400–424. MR 0123626
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