summary:Let $G$ be an Archimedean $\ell $-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
AbstractIt is shown that the class of all strong radicals containing the prime radical is not a subl...
AbstractResults of Henriksen and Johnson, for archimedean f-rings with identity, and of Aron and Hag...
summary:In this paper an injective mapping of the class of all infinite cardinals into the collectio...
summary:Let $G$ be an Archimedean $\ell $-group. We denote by $G^d$ and $R_D(G)$ the divisible hull ...
summary:In this paper we investigate the possibility of a regular embedding of a lattice ordered gro...
summary:Let $\mathcal D$ be the system of all distributive lattices and let $\mathcal D_0$ be the sy...
summary:Lattices in the class $\mathcal{IRN}$ of algebraic, distributive lattices whose compact elem...
summary:There are several special kinds of radical classes. For example, a product radical class is ...
AbstractIn this paper, we introduce the concept of a valuation mapping of anl-groupGonto a distribut...
summary:In the present note we characterize finite lattices which are isomorphic to the congruence l...
summary:The extension of a lattice ordered group $A$ by a generalized Boolean algebra $B$ will be de...
There has been compelling evidence during the past decade that lattice-ordered groups (ℓ-groups) pla...
There has been compelling evidence during the past decade that lattice-ordered groups (ℓ-groups) pla...
summary:In this paper we deal with the notions of projectability, spliting property and Dedekind com...
summary:Let $\alpha $ be an infinite cardinal. In this paper we define an interpolation rule $\matho...
AbstractIt is shown that the class of all strong radicals containing the prime radical is not a subl...
AbstractResults of Henriksen and Johnson, for archimedean f-rings with identity, and of Aron and Hag...
summary:In this paper an injective mapping of the class of all infinite cardinals into the collectio...
summary:Let $G$ be an Archimedean $\ell $-group. We denote by $G^d$ and $R_D(G)$ the divisible hull ...
summary:In this paper we investigate the possibility of a regular embedding of a lattice ordered gro...
summary:Let $\mathcal D$ be the system of all distributive lattices and let $\mathcal D_0$ be the sy...
summary:Lattices in the class $\mathcal{IRN}$ of algebraic, distributive lattices whose compact elem...
summary:There are several special kinds of radical classes. For example, a product radical class is ...
AbstractIn this paper, we introduce the concept of a valuation mapping of anl-groupGonto a distribut...
summary:In the present note we characterize finite lattices which are isomorphic to the congruence l...
summary:The extension of a lattice ordered group $A$ by a generalized Boolean algebra $B$ will be de...
There has been compelling evidence during the past decade that lattice-ordered groups (ℓ-groups) pla...
There has been compelling evidence during the past decade that lattice-ordered groups (ℓ-groups) pla...
summary:In this paper we deal with the notions of projectability, spliting property and Dedekind com...
summary:Let $\alpha $ be an infinite cardinal. In this paper we define an interpolation rule $\matho...
AbstractIt is shown that the class of all strong radicals containing the prime radical is not a subl...
AbstractResults of Henriksen and Johnson, for archimedean f-rings with identity, and of Aron and Hag...
summary:In this paper an injective mapping of the class of all infinite cardinals into the collectio...
DOI
Add to ORKG