# 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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