Interior and closure operators on bounded residuated lattice ordered monoids |
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Authors: | Filip Švrček |
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Affiliation: | (1) Department of Algebra and Geometry, Faculty of Science, Palacky University, Tomkova 40, 779 00 Olomouc, Czech Republic |
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Abstract: | GMV-algebras endowed with additive closure operators or with its duals-multiplicative interior operators (closure or interior GMV-algebras) were introduced as a non-commutative generalization of topological Boolean algebras. In the paper, the multiplicative interior and additive closure operators on DRl-monoids are introduced as natural generalizations of the multiplicative interior and additive closure operators on GMV-algebras. |
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Keywords: | GMV-algebra DRl-monoid filter |
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