Interior and closure operators on bounded residuated lattice ordered monoids
Czechoslovak Mathematical Journal, Tome 58 (2008) no. 2, pp. 345-357.

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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.
Classification : 03G25, 06D35, 06F05
Keywords: $GMV$-algebra; $DRl$-monoid; filter
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     title = {Interior and closure operators on bounded residuated lattice ordered monoids},
     journal = {Czechoslovak Mathematical Journal},
     pages = {345--357},
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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/