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Transferral of entailment in duality theory: Dualisability

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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.

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Correspondence to Miroslav Haviar.

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The first author acknowledges support from Portuguese Project ISFL-1-143 of CAUL financed by FCT and FEDER, the second author acknowledges support from Slovak grants APVV-51-009605 and VEGA 1/0485/09.

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Gouveia, M.J., Haviar, M. Transferral of entailment in duality theory: Dualisability. Czech Math J 61, 41–63 (2011). https://doi.org/10.1007/s10587-011-0016-z

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