Transferral of entailment in duality theory II: strong dualisability

Maria João Gouveia; Miroslav Haviar

Displaying similar documents to “Transferral of entailment in duality theory II: strong dualisability”

Transferral of entailment in duality theory: dualisability

Maria Joao Gouveia, Miroslav Haviar (2011)

Czechoslovak Mathematical Journal

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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.

Clones in topology and algebra.

Sichler, J., Trnková, V. (1997)

Acta Mathematica Universitatis Comenianae. New Series

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Strictly order primal algebras.

Lüders, O., Schweigert, D. (1994)

Acta Mathematica Universitatis Comenianae. New Series

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Homomorphisms and strong homomorphisms of relational structures

Miroslav Novotný (1997)

Archivum Mathematicum

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Natural dualities for varieties of distributive lattices with a quantifier

H. Priestley (1993)

Banach Center Publications

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A duality for isotropic median algebras

Miroslav Ploščica (1992)

Commentationes Mathematicae Universitatis Carolinae

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We establish categorical dualities between varieties of isotropic median algebras and suitable categories of operational and relational topological structures. We follow a general duality theory of B.A. Davey and H. Werner. The duality results are used to describe free isotropic median algebras. If the number of free generators is less than five, the description is detailed.