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Idempotent and Regular Elements of the Complete Semigroups of Binary Relations of the Class ∑<sub>3</sub>(<i>X</i>,9)
Çanakkale Onsekiz Mart University, Çanakkale, Turkey
Çanakkale Onsekiz Mart University, Çanakkale, Turkey
- 1 Çanakkale Onsekiz Mart University, Çanakkale, Turkey
- 2 Çanakkale Onsekiz Mart University, Çanakkale, Turkey
Applied Mathematics·Volume 06 (2015)·Pages 312–318·Published 3 February 2015·DOI10.4236/am.2015.62029
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Abstract
In this paper, we take Q 16 subsemilattice of D and we will calculate the number of right unit, idempotent and regular elements α of B X ( Q 16 ) satisfied that V ( D , α ) = Q 16 for a finite set X . Also we will give a formula for calculate idempotent and regular elements of B X ( Q ) defined by an X -semilattice of unions D .
KeywordsSemilatticeSemigroupBinary Relation
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