Torsion classes and subdirect products of Carathéodory vector lattices

Ján Jakubík

Displaying similar documents to “Torsion classes and subdirect products of Carathéodory vector lattices”

On Carathéodory vector lattices

Ján Jakubík (2003)

Mathematica Slovaca

Similarity:

Torsion classes of Specker lattice ordered groups

Ján Jakubík (2002)

Czechoslovak Mathematical Journal

Similarity:

In this paper we investigate the relations between torsion classes of Specker lattice ordered groups and torsion classes of generalized Boolean algebras.

On vector lattices of elementary Carathéodory functions

Ján Jakubík (2005)

Czechoslovak Mathematical Journal

Similarity:

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

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

Ján Jakubík (2006)

Czechoslovak Mathematical Journal

Similarity:

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 $R (A_{B})$ .

Cantor-Bernstein theorem for lattices

Ján Jakubík (2002)

Mathematica Bohemica

Similarity:

This paper is a continuation of a previous author’s article; the result is now extended to the case when the lattice under consideration need not have the least element.