Displaying similar documents to “Two remarks on dually residuated lattice ordered semigroups”

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...