I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2000, VOLUME 6, NUMBER 1, PAGES 51-61
D. A. Bredikhin
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$\mathbf u$-semigroup we mean an algebra $(A,\cdot,\mathbf u)$where $(A,\cdot)$is a semigroup and $\mathbf u \in A$. A set of binary relations closed under the relation product and containing the universal relation $\mathbf U$forms a $\mathbf U$-semigroup of relations which can be considered as partially ordered by inclusion. In the paper, an axiomatic description of the classes of $\mathbf U$-semigroups and partially ordered $\mathbf U$-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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Last modified: April 11, 2000