FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2000, VOLUME 6, NUMBER 1, PAGES 51-61

**$$****U**-semigroups of relations

D. A. Bredikhin

Abstract

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By a $$**u**-semigroup we
mean an algebra $(A,$×,**u**) where
$(A,$×) is a semigroup
and $$**u** Î A.
A set of binary relations closed under the relation product
and containing the universal relation $$**U** forms
a $$**U**-semigroup
of relations which can be considered
as partially ordered by inclusion.
In the paper, an axiomatic description of the classes
of $$**U**-semigroups
and partially ordered $$**U**-semigroups of
relations, and a basis of identities and quasiidentities of
the variety and quasivariety generated by these classes are
obtained.

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published in Russian.

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Last modified: April 11, 2000