On $\sigma $-complete lattice ordered groups

Ján Jakubík

Displaying similar documents to “On $σ$ -complete lattice ordered groups”

On vector lattices of elementary Carathéodory functions

Ján Jakubík (2005)

Czechoslovak Mathematical Journal

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In this paper we deal with the vector lattice $C (B)$ of all elementary Carathéodory functions corresponding to a generalized Boolean algebra $B$ .

Subgroups and hulls of Specker lattice-ordered groups

Paul F. Conrad, Michael R. Darnel (2001)

Czechoslovak Mathematical Journal

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In this article, it will be shown that every $ℓ$ -subgroup of a Specker $ℓ$ -group has singular elements and that the class of $ℓ$ -groups that are $ℓ$ -subgroups of Specker $ℓ$ -group form a torsion class. Methods of adjoining units and bases to Specker $ℓ$ -groups are then studied with respect to the generalized Boolean algebra of singular elements, as is the strongly projectable hull of a Specker $ℓ$ -group.

Cantor-Bernstein theorem for lattice ordered groups

Ján Jakubík (1972)

Czechoslovak Mathematical Journal

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Displaying similar documents to “On σ -complete lattice ordered groups”

On vector lattices of elementary Carathéodory functions

Subgroups and hulls of Specker lattice-ordered groups

Cantor-Bernstein theorem for lattice ordered groups

Displaying similar documents to “On $σ$ -complete lattice ordered groups”