On vector lattices of elementary Carathéodory functions

Ján Jakubík

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

The subalgebra lattice of a Heyting algebra

Luc Vrancken-Mawet, Georges Hansoul (1987)

Czechoslovak Mathematical Journal

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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.