Characterization by triples of varieties of bounded residuated lattices with an MV retract

MARCOS, MIGUEL ANDRÉS

Workshop; AsubL (Algebra & Substructural Logics- Take 6); 2018

We introduce the notion of generalized rotation of a residuated lattice and char-acterize the varieties of bounded residuated lattices they generate, which wename MVRn. These algebras have a retraction onto a hyperarchimedean MV-algebra. Then we characterize algebras in MVRn as triples made of an MV-algebra, a residuated lattice with a nucleus, and an operator joining them.