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Weak Boolean products of bounded dually residuated \(l\)-monoids. (English) Zbl 1174.06329
Summary: In the paper we deal with weak Boolean products of bounded dually residuated \(l\)-monoids (DR\(l\)-monoids). Since bounded DR\(l\)-monoids are a generalization of pseudo MV-algebras and pseudo BL-algebras, the results can be immediately applied to these algebras.
MSC:
06F05 Ordered semigroups and monoids
06D35 MV-algebras
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