Atomicity of the Boolean algebra of direct factors of a directed set

Ján Jakubík

Mathematica Bohemica (1998)

  • Volume: 123, Issue: 2, page 145-161
  • ISSN: 0862-7959

Abstract

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In the present paper we deal with the relations between direct product decompositions of a directed set L and direct product decompositions of intervals of L .

How to cite

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Jakubík, Ján. "Atomicity of the Boolean algebra of direct factors of a directed set." Mathematica Bohemica 123.2 (1998): 145-161. <http://eudml.org/doc/248301>.

@article{Jakubík1998,
abstract = {In the present paper we deal with the relations between direct product decompositions of a directed set $L$ and direct product decompositions of intervals of $L$.},
author = {Jakubík, Ján},
journal = {Mathematica Bohemica},
keywords = {Boolean algebras; structure theory; directed set; direct product decomposition; atomicity; Boolean algebras; structure theory; directed set; direct product decomposition; atomicity},
language = {eng},
number = {2},
pages = {145-161},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Atomicity of the Boolean algebra of direct factors of a directed set},
url = {http://eudml.org/doc/248301},
volume = {123},
year = {1998},
}

TY - JOUR
AU - Jakubík, Ján
TI - Atomicity of the Boolean algebra of direct factors of a directed set
JO - Mathematica Bohemica
PY - 1998
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 123
IS - 2
SP - 145
EP - 161
AB - In the present paper we deal with the relations between direct product decompositions of a directed set $L$ and direct product decompositions of intervals of $L$.
LA - eng
KW - Boolean algebras; structure theory; directed set; direct product decomposition; atomicity; Boolean algebras; structure theory; directed set; direct product decomposition; atomicity
UR - http://eudml.org/doc/248301
ER -

References

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  1. J. Hashimoto, 10.2307/1969532, Ann. of Math. 54 (1951), 315-318. (1951) MR0043067DOI10.2307/1969532
  2. J. Jakubík, Weak product decompositions of discrete lattices, Czechoslovak Math. J. 21 (1971), 399-412. (1971) MR0286723
  3. J. Jakubík, 10.4064/cm-25-2-177-190, Colloq. Math. 25 (1972), 177-190. (1972) MR0329977DOI10.4064/cm-25-2-177-190
  4. J. Jakubík, Directly indecomposable direct factors of a lattice, Math. Bohem. 121 (1996), 281-292. (1996) MR1419882
  5. J. Jakubík M. Csontóová, Convex isomorphisms of directed multilattices, Math. Bohem. 118 (1993), 359-379. (1993) MR1251882
  6. L. Libkin, 10.1007/BF01190769, Algebra Univ. 33 (1995), 127-135. (1995) Zbl0818.06004MR1303635DOI10.1007/BF01190769

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