Uniqueness of representations of a distributive lattice as a free product of a Boolean algebra and a chain

R. Balbes; Ph. Dwinger

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Displaying similar documents to “Uniqueness of representations of a distributive lattice as a free product of a Boolean algebra and a chain”

A characterization of complete atomic Boolean algebra.

Francesc Esteva (1977)

Stochastica

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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.