Direct factors of multilattice groups. II.

Milan Kolibiar

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

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

Ján Jakubík (2001)

Mathematica Bohemica

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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 $G$ .

Direct factors of multilattice groups

Milan Kolibiar (1990)

Archivum Mathematicum

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On the distributive radical of an Archimedean lattice-ordered group

Ján Jakubík (2009)

Czechoslovak Mathematical Journal

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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.

Characterization of posets of intervals

Judita Lihová (2000)

Archivum Mathematicum

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If $A$ is a class of partially ordered sets, let $P (A)$ denote the system of all posets which are isomorphic to the system of all intervals of $A$ for some $A \in A .$ We give an algebraic characterization of elements of $P (A)$ for $A$ being the class of all bounded posets and the class of all posets $A$ satisfying the condition that for each $a \in A$ there exist a minimal element $u$ and a maximal element $v$ with $u \leq a \leq v,$ respectively.

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

On iterated limits of subsets of a convergence ℓ -group

Direct factors of multilattice groups

On the distributive radical of an Archimedean lattice-ordered group

Characterization of posets of intervals

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