%0 Journal Article
%T Generating Sets of the Complete Semigroup of Binary Relations Defined by Semilattices of the Class Σ<sub>8</sub>(<i>X</i>, 5)
%A Nino Tsinaridze
%J Applied Mathematics
%P 169-197
%@ 2152-7393
%D 2024
%I Scientific Research Publishing
%R 10.4236/am.2024.152010
%X In this article, we study generating sets of the complete semigroups of binary relations defined by <em>X</em>-semilattices of unions of the class <span style=\"white-space:nowrap;\">&amp;#931;<sub>8</sub>(<em>X</em>, 5)</span>. Found uniquely irreducible generating set for the given semigroups and when <em>X</em> is finite set formulas for calculating the number of elements in generating sets are derived.
%K Semigroup
%K Semilattice
%K Binary Relation
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=131636