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Article

Jakubík, Ján
Completely subdirect products of directed sets. (English). Mathematica Bohemica, vol. 127 (2002), issue 1, pp. 71-81
MSC: 06A06, 06F15 | MR 1895248 | Zbl 0999.06002 | DOI: 10.21136/MB.2002.133986
Keywords:
directed set; directed group; directly indecomposable direct factor; completely subdirect product
Summary:
This paper deals with directly indecomposable direct factors of a directed set.
References:
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[2] J. Jakubík: Weak product decompositions of discrete lattices. Czechoslovak Math. J. 21 (1971), 399–412. MR 0286723
[3] J. Jakubík: Weak product decompositions of partially ordered sets. Colloquium Math. 25 (1972), 177–190. DOI 10.4064/cm-25-2-177-190 | MR 0329977
[4] J. Jakubík: Directly indecomposable direct factors of a lattice. Math. Bohem. 121 (1996), 281–292. MR 1419882
[5] J. Jakubík: Atomicity of the Boolean algebra of direct factors of a directed set. Math. Bohem. 132 (1998), 145–162. MR 1673985
[6] L. Libkin: Direct decompositions of atomistic algebraic lattices. Algebra Univ. 33 (1995), 127–135. DOI 10.1007/BF01190769 | MR 1303635 | Zbl 0818.06004
[7] F. Šik: Über subdirekte Summen geordneter Gruppen. Czechoslovak Math. J. 10 (1960), 400–424. MR 0123626
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