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Subjects
06-XX Order, lattices, ordered algebraic structures
06Fxx Ordered structures
06F05 Ordered semigroups and monoids

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Weak Boolean products of bounded dually residuated $l$ -monoids

Jan Kühr, Jiří Rachůnek (2007)

Mathematica Bohemica

In the paper we deal with weak Boolean products of bounded dually residuated $ℓ$ -monoids (DR $l$ -monoids). Since bounded DRl-monoids are a generalization of pseudo MV-algebras and pseudo BL-algebras, the results can be immediately applied to these algebras.