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Interior and closure operators on bounded residuated lattice ordered monoids

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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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Authors and Affiliations

  1. Department of Algebra and Geometry, Faculty of Science, Palacký University, Tomkova 40, 779 00, Olomouc, Czech Republic

    Filip Švrček

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  1. Filip Švrček
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Correspondence to Filip Švrček.

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Švrček, F. Interior and closure operators on bounded residuated lattice ordered monoids. Czech Math J 58, 345–357 (2008). https://doi.org/10.1007/s10587-008-0020-0

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  • DOI: https://doi.org/10.1007/s10587-008-0020-0

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