Displaying similar documents to “On vector lattices of elementary Carathéodory functions”

Subdirect decompositions and the radical of a generalized Boolean algebra extension of a lattice ordered group

Ján Jakubík (2006)

Czechoslovak Mathematical Journal

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The extension of a lattice ordered group A by a generalized Boolean algebra B will be denoted by A B . In this paper we apply subdirect decompositions of A B for dealing with a question proposed by Conrad and Darnel. Further, in the case when A is linearly ordered we investigate (i) the completely subdirect decompositions of A B and those of B , and (ii) the values of elements of A B and the radical R ( A B ) .

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.