Displaying similar documents to “Strictly order primal algebras.”

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.

Projection representable relations on Menger ( 2 , n ) -semigroups

Wiesław Aleksander Dudek, Valentin S. Trokhimenko (2008)

Czechoslovak Mathematical Journal

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Abstract characterizations of relations of nonempty intersection, inclusion end equality of domains for partial n -place functions are presented. Representations of Menger ( 2 , n ) -semigroups by partial n -place functions closed with respect to these relations are investigated.

Transferral of entailment in duality theory II: strong dualisability

Maria João Gouveia, Miroslav Haviar (2011)

Czechoslovak Mathematical Journal

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Results saying how to transfer the entailment in certain minimal and maximal ways and how to transfer strong dualisability between two different finite generators of a quasi-variety of algebras are presented. A new proof for a well-known result in the theory of natural dualities which says that strong dualisability of a quasi-variety is independent of the generating algebra is derived.

Quasitrivial semimodules. VII.

Tomáš Kepka, Petr Němec (2013)

Acta Universitatis Carolinae. Mathematica et Physica

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The paper continues the investigation of quasitrivial semimodules and related problems. In particular, strong endomorphisms of semilattices are studied.