Geodesic
Interior and closure operators on bounded residuated lattice ordered monoids
Czechoslovak Mathematical Journal, Tome 58 (2008) no. 2, pp. 345-357 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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$GMV$-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.
$GMV$-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.
Classification : 03G25, 06D35, 06F05
Keywords: $GMV$-algebra; $DRl$-monoid; filter 
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Švrček, Filip. Interior and closure operators on bounded residuated lattice ordered monoids. Czechoslovak Mathematical Journal, Tome 58 (2008) no. 2, pp. 345-357. http://geodesic.mathdoc.fr/item/CMJ_2008_58_2_a3/

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