Interior and closure operators on bounded residuated lattice ordered monoids
Filip Švrček (2008)
Czechoslovak Mathematical Journal
Similarity:
-algebras endowed with additive closure operators or with its duals-multiplicative interior operators (closure or interior -algebras) were introduced as a non-commutative generalization of topological Boolean algebras. In the paper, the multiplicative interior and additive closure operators on -monoids are introduced as natural generalizations of the multiplicative interior and additive closure operators on -algebras.