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Algebraic and Topological Properties of Apartness Lattice-Ordered Semigroups
Gabriel Ciobanu and Danut Rusu

This paper presents a topological approach of the apartness lattice-ordered semigroups. After some algebraic properties, we present various topological properties, and organize the apartness lattice-ordered semigroups as uniform semigroups. We introduce and study new notions of separation between the subsets of these semigroups.

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