Completely subdirect products of directed sets

Ján Jakubík

Mathematica Bohemica (2002)

  • Volume: 127, Issue: 1, page 71-81
  • ISSN: 0862-7959

Abstract

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This paper deals with directly indecomposable direct factors of a directed set.

How to cite

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Jakubík, Ján. "Completely subdirect products of directed sets." Mathematica Bohemica 127.1 (2002): 71-81. <http://eudml.org/doc/249024>.

@article{Jakubík2002,
abstract = {This paper deals with directly indecomposable direct factors of a directed set.},
author = {Jakubík, Ján},
journal = {Mathematica Bohemica},
keywords = {directed set; directed group; directly indecomposable direct factor; completely subdirect product; directed set; directed group; directly indecomposable direct factor; completely subdirect product},
language = {eng},
number = {1},
pages = {71-81},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Completely subdirect products of directed sets},
url = {http://eudml.org/doc/249024},
volume = {127},
year = {2002},
}

TY - JOUR
AU - Jakubík, Ján
TI - Completely subdirect products of directed sets
JO - Mathematica Bohemica
PY - 2002
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 127
IS - 1
SP - 71
EP - 81
AB - This paper deals with directly indecomposable direct factors of a directed set.
LA - eng
KW - directed set; directed group; directly indecomposable direct factor; completely subdirect product; directed set; directed group; directly indecomposable direct factor; completely subdirect product
UR - http://eudml.org/doc/249024
ER -

References

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  1. Direct decompositions of partially ordered groups, Czechoslovak Math. J. 10 (1960), 231–243. (Russian) (1960) 
  2. Weak product decompositions of discrete lattices, Czechoslovak Math. J. 21 (1971), 399–412. (1971) MR0286723
  3. 10.4064/cm-25-2-177-190, Colloquium Math. 25 (1972), 177–190. (1972) MR0329977DOI10.4064/cm-25-2-177-190
  4. Directly indecomposable direct factors of a lattice, Math. Bohem. 121 (1996), 281–292. (1996) MR1419882
  5. Atomicity of the Boolean algebra of direct factors of a directed set, Math. Bohem. 132 (1998), 145–162. (1998) MR1673985
  6. 10.1007/BF01190769, Algebra Univ. 33 (1995), 127–135. (1995) Zbl0818.06004MR1303635DOI10.1007/BF01190769
  7. Über subdirekte Summen geordneter Gruppen, Czechoslovak Math. J. 10 (1960), 400–424. (1960) MR0123626

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