Completely subdirect products of directed sets
Mathematica Bohemica, Tome 127 (2002) no. 1, pp. 71-81
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This paper deals with directly indecomposable direct factors of a directed set.
This paper deals with directly indecomposable direct factors of a directed set.
DOI : 10.21136/MB.2002.133986
Classification : 06A06, 06F15
Keywords: directed set; directed group; directly indecomposable direct factor; completely subdirect product
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Jakubík, Ján. Completely subdirect products of directed sets. Mathematica Bohemica, Tome 127 (2002) no. 1, pp. 71-81. doi: 10.21136/MB.2002.133986

[1] J. Jakubík: Direct decompositions of partially ordered groups. Czechoslovak Math. J. 10 (1960), 231–243. (Russian)

[2] J. Jakubík: Weak product decompositions of discrete lattices. Czechoslovak Math. J. 21 (1971), 399–412. | MR

[3] J. Jakubík: Weak product decompositions of partially ordered sets. Colloquium Math. 25 (1972), 177–190. | DOI | MR

[4] J. Jakubík: Directly indecomposable direct factors of a lattice. Math. Bohem. 121 (1996), 281–292. | MR

[5] J. Jakubík: Atomicity of the Boolean algebra of direct factors of a directed set. Math. Bohem. 132 (1998), 145–162. | MR

[6] L. Libkin: Direct decompositions of atomistic algebraic lattices. Algebra Univ. 33 (1995), 127–135. | DOI | MR | Zbl

[7] F. Šik: Über subdirekte Summen geordneter Gruppen. Czechoslovak Math. J. 10 (1960), 400–424. | MR

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