A characterization of complete atomic Boolean algebras

Autores: Francisco Esteva
Localización: Stochastica: revista de matemática pura y aplicada, ISSN 0210-7821, Vol. 2, Nº. 3, 1977, págs. 41-43
Idioma: inglés
Títulos paralelos:
- Caracterización de álgebras de Boole atómicas completas.
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Resumen
- 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.