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Interior and closure operators on bounded residuated lattice ordered monoids. (English) Zbl 1174.06323

Summary: GMV-algebras endowed with additive closure operators or with their 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 DR\(l\)-monoids are introduced as natural generalizations of the multiplicative interior and additive closure operators on GMV-algebras.

MSC:

06F05 Ordered semigroups and monoids
06D35 MV-algebras
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References:

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