A characterization of complete atomic Boolean algebra.
Stochastica (1977)
- Volume: 2, Issue: 3, page 41-43
- ISSN: 0210-7821
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topEsteva, Francesc. "A characterization of complete atomic Boolean algebra.." Stochastica 2.3 (1977): 41-43. <http://eudml.org/doc/38802>.
@article{Esteva1977,
abstract = {In this note we give a characterization of complete atomic Boolean algebras by means of complete atomic lattices. We find that unicity of the representation of the maximum as union of atoms and Lambda-infinite distributivity law are necessary and sufficient conditions for the lattice to be a complete atomic Boolean algebra.},
author = {Esteva, Francesc},
journal = {Stochastica},
keywords = {Retículos; Álgebras de Boole; atomic Boolean algebra; join of atoms; atomic complete lattice; infinitely meet-distributive lattice},
language = {eng},
number = {3},
pages = {41-43},
title = {A characterization of complete atomic Boolean algebra.},
url = {http://eudml.org/doc/38802},
volume = {2},
year = {1977},
}
TY - JOUR
AU - Esteva, Francesc
TI - A characterization of complete atomic Boolean algebra.
JO - Stochastica
PY - 1977
VL - 2
IS - 3
SP - 41
EP - 43
AB - In this note we give a characterization of complete atomic Boolean algebras by means of complete atomic lattices. We find that unicity of the representation of the maximum as union of atoms and Lambda-infinite distributivity law are necessary and sufficient conditions for the lattice to be a complete atomic Boolean algebra.
LA - eng
KW - Retículos; Álgebras de Boole; atomic Boolean algebra; join of atoms; atomic complete lattice; infinitely meet-distributive lattice
UR - http://eudml.org/doc/38802
ER -
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