Direct factors of multilattice groups. II.

Milan Kolibiar

Displaying similar documents to “Direct factors of multilattice groups. II.”

Direct factors of multilattice groups

Milan Kolibiar (1990)

Archivum Mathematicum

Similarity:

On iterated limits of subsets of a convergence $ℓ$ -group

Ján Jakubík (2001)

Mathematica Bohemica

Similarity:

In this paper we deal with the relation $lim_{α} lim_{α} X = lim_{α} X$ for a subset $X$ of $G$ , where $G$ is an $ℓ$ -group and $α$ is a sequential convergence on $G$ .

On the distributive radical of an Archimedean lattice-ordered group

Ján Jakubík (2009)

Czechoslovak Mathematical Journal

Similarity:

Let $G$ be an Archimedean $ℓ$ -group. We denote by $G^{d}$ and $R_{D} (G)$ the divisible hull of $G$ and the distributive radical of $G$ , respectively. In the present note we prove the relation ${(R_{D} (G))}^{d} = R_{D} (G^{d})$ . As an application, we show that if $G$ is Archimedean, then it is completely distributive if and only if it can be regularly embedded into a completely distributive vector lattice.

Displaying similar documents to “Direct factors of multilattice groups. II.”