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Generating Sets of the Complete Semigroup of Binary Relations Defined by Semilattices of the Class Σ<sub>8</sub>(<i>X</i>, 5)
Department of Mathematics, Faculty of Exact Sciences and Education, Batumi Shota Rustaveli State University, Batumi, Georgia
- 1 Department of Mathematics, Faculty of Exact Sciences and Education, Batumi Shota Rustaveli State University, Batumi, Georgia
Applied Mathematics·Volume 15 (2024)·Pages 169–197·Published 29 February 2024·DOI10.4236/am.2024.152010
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Abstract
In this article, we study generating sets of the complete semigroups of binary relations defined by X -semilattices of unions of the class Σ 8 ( X , 5) . Found uniquely irreducible generating set for the given semigroups and when X is finite set formulas for calculating the number of elements in generating sets are derived.
KeywordsSemigroupSemilatticeBinary Relation
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