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Generating Sets of the Complete Semigroup of Binary Relations Defined by Semilattices of the Class &#931;<sub>8</sub>(X, 5)

Generating Sets of the Complete Semigroup of Binary Relations Defined by Semilattices of the Class &#931;<sub>8</sub>(X, 5)
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摘要 In this article, we study generating sets of the complete semigroups of binary relations defined by X-semilattices of unions of the class Σ<sub>8</sub>(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. In this article, we study generating sets of the complete semigroups of binary relations defined by X-semilattices of unions of the class Σ<sub>8</sub>(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.
作者 Nino Tsinaridze Nino Tsinaridze(Department of Mathematics, Faculty of Exact Sciences and Education, Batumi Shota Rustaveli State University, Batumi, Georgia)
出处 《Applied Mathematics》 2024年第2期169-197,共29页 应用数学(英文)
关键词 SEMIGROUP SEMILATTICE Binary Relation Semigroup Semilattice Binary Relation
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