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Tolerances on poset algebras

Bohdan Zelinka (1992)

Mathematica Bohemica

To everz partiallz ordered set a certain groupoid is assigned. A tolerance on it is defined similarlz as a congruence, onlz the requirement of transitivitz is omitted. Some theorems concerning these tolerances are proved.

Tolerances on powers of a finite algebra

Jaromír Duda (1992)

Mathematica Bohemica

It is shown that any power A n , n 2 , of a finite k -element algebra A , k 2 , has factorable tolerances whenever the power A 4 k 2 - 3 k has the same property.

Toward ternary C

Geoffrey Dixon (2010)

Commentationes Mathematicae Universitatis Carolinae

In which the binary product algebra of complex numbers, C, is generalized to a ternary product algebra, 𝐂 3 .

Transferral of entailment in duality theory: dualisability

Maria Joao Gouveia, Miroslav Haviar (2011)

Czechoslovak Mathematical Journal

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.

Transferral of entailment in duality theory II: strong dualisability

Maria João Gouveia, Miroslav Haviar (2011)

Czechoslovak Mathematical Journal

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.

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