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Transferral of entailment in duality theory: Dualisability
Authors:Maria Joao Gouveia  Miroslav Haviar
Affiliation:1.Lisbon,Portugal;2.Banská Bystrica,Slovakia;3.Departamento de Matemática,Faculdade de Ciências da Universidade de Lisboa,Lisboa,Portugal;4.Centro de álgebra da Universidade de Lisboa,Lisboa,Portugal;5.Research Institute,M. Bel University,Banská Bystrica,Slovakia;6.Faculty of Natural Sciences,M. Bel University,Banská Bystrica,Slovakia
Abstract:A number of new results that say how to transfer the entailment relation between two different finite generators of a quasi-variety of algebras is presented. As their consequence, a well-known result saying that dualisability of a quasi-variety is independent of the generating algebra is derived. The transferral of endodualisability is also considered and the results are illustrated by examples.
Keywords:
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