Convex isomorphisms of Archimedean lattice ordered groups.
Ján Jakubík (1998)
Mathware and Soft Computing
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This paper contains a result of Cantor-Bernstein type concerning archimedean lattice ordered groups.
Displaying similar documents to “Normal autometrized lattice ordered algebras”
Convex isomorphisms of Archimedean lattice ordered groups.
Maximal Dedekind completion of a half lattice ordered group
Štefan Černák (1999)
Mathematica Slovaca
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Complete distributivity of lattice ordered groups and of vector lattices
Ján Jakubík (2001)
Czechoslovak Mathematical Journal
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In this paper we investigate the possibility of a regular embedding of a lattice ordered group into a completely distributive vector lattice.
On lattice-ordered monoids
Milan Jasem (2003)
Discussiones Mathematicae - General Algebra and Applications
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In the paper lattice-ordered monoids and specially normal lattice-ordered monoids which are a generalization of dually residuated lattice-ordered semigroups are investigated. Normal lattice-ordered monoids are metricless normal lattice-ordered autometrized algebras. It is proved that in any lattice-ordered monoid A, a ∈ A and na ≥ 0 for some positive integer n imply a ≥ 0. A necessary and sufficient condition is found for a lattice-ordered monoid A, such that the set I of all invertible...
Isomorphisms of direct products of lattice-ordered groups
Ján Jakubík (2004)
Discussiones Mathematicae - General Algebra and Applications
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In this paper we investigate sufficient conditions for the validity of certain implications concerning direct products of lattice-ordered groups.