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Complete Semigroups of Binary Relations Defined by Semilattices of the Class ∑<sub>1</sub>(<i>X</i>,10)
Shota Rustavelli University, Batum, Georgia
&CCEDIL;anakkale Onsekiz Mart University, &CCEDIL;anakkale, Turkey
Hacettepe University, Ankara, Turkey
- 1 Shota Rustavelli University, Batum, Georgia
- 2 &CCEDIL;anakkale Onsekiz Mart University, &CCEDIL;anakkale, Turkey
- 3 Hacettepe University, Ankara, Turkey
Applied Mathematics·Volume 06 (2015)·Pages 274–294·Published 3 February 2015·DOI10.4236/am.2015.62026
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Abstract
In this paper we give a full description of idempotent elements of the semigroup B X ( D ), which are defined by semilattices of the class ∑ 1 ( X , 10). For the case where X is a finite set we derive formulas by means of which we can calculate the numbers of idempotent elements of the respective semigroup.
KeywordsSemilatticeSemigroupBinary Relation
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