summary:Let $\alpha $ be an infinite cardinal. In this paper we define an interpolation rule $\mathop {\mathrm IR}(\alpha )$ for lattice ordered groups. We denote by $C (\alpha )$ the class of all lattice ordered groups satisfying $\mathop {\mathrm IR}(\alpha )$, and prove that $C (\alpha )$ is a radical class
AbstractFor any cardinal μ let Zμ be the additive group of all integer-valued functions f:μ⟶Z. The s...
summary:The extension of a lattice ordered group $A$ by a generalized Boolean algebra $B$ will be de...
AbstractIn [8, 11, 12] the class IRN was introduced in order to obtain the lattice-theoretic analogu...
summary:Let $\alpha $ be an infinite cardinal. In this paper we define an interpolation rule $\matho...
summary:In [1], Jakubík showed that the class of $\sigma $-interpolation lattice-ordered groups form...
ABSTRACT. The main results of this paper concern radical classes of l-groups. In the sec-tions 2-3 t...
summary:There are several special kinds of radical classes. For example, a product radical class is ...
This document has been digitized, optimized for electronic delivery and stamped with digital signatu...
summary:Lattices in the class $\mathcal{IRN}$ of algebraic, distributive lattices whose compact elem...
Lattices of radicals were extensively studied, for example, in the class of associative rings and l...
summary:We denote by $K$ the class of all cardinals; put $K^{\prime }= K \cup \lbrace \infty \rbrac...
summary:Let $\frak m$ be an infinite cardinal. We denote by $C_\frak m$ the collection of all $\frak...
summary:It is proved that a radical class $\sigma $ of lattice-ordered groups has exactly one cover ...
summary:In this paper we prove that the collection of all weakly distributive lattice ordered groups...
summary:Let $\mathcal D$ be the system of all distributive lattices and let $\mathcal D_0$ be the sy...
AbstractFor any cardinal μ let Zμ be the additive group of all integer-valued functions f:μ⟶Z. The s...
summary:The extension of a lattice ordered group $A$ by a generalized Boolean algebra $B$ will be de...
AbstractIn [8, 11, 12] the class IRN was introduced in order to obtain the lattice-theoretic analogu...
summary:Let $\alpha $ be an infinite cardinal. In this paper we define an interpolation rule $\matho...
summary:In [1], Jakubík showed that the class of $\sigma $-interpolation lattice-ordered groups form...
ABSTRACT. The main results of this paper concern radical classes of l-groups. In the sec-tions 2-3 t...
summary:There are several special kinds of radical classes. For example, a product radical class is ...
This document has been digitized, optimized for electronic delivery and stamped with digital signatu...
summary:Lattices in the class $\mathcal{IRN}$ of algebraic, distributive lattices whose compact elem...
Lattices of radicals were extensively studied, for example, in the class of associative rings and l...
summary:We denote by $K$ the class of all cardinals; put $K^{\prime }= K \cup \lbrace \infty \rbrac...
summary:Let $\frak m$ be an infinite cardinal. We denote by $C_\frak m$ the collection of all $\frak...
summary:It is proved that a radical class $\sigma $ of lattice-ordered groups has exactly one cover ...
summary:In this paper we prove that the collection of all weakly distributive lattice ordered groups...
summary:Let $\mathcal D$ be the system of all distributive lattices and let $\mathcal D_0$ be the sy...
AbstractFor any cardinal μ let Zμ be the additive group of all integer-valued functions f:μ⟶Z. The s...
summary:The extension of a lattice ordered group $A$ by a generalized Boolean algebra $B$ will be de...
AbstractIn [8, 11, 12] the class IRN was introduced in order to obtain the lattice-theoretic analogu...
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