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Regular Elements of <i>B<sub>x</sup></i>(D) Defined by the Class ∑<sub>1</sub>(X,10)-<i>I</i>
Shota Rustavelli University, Batumi, Georgia
Shota Rustavelli University, Batumi, Georgia
Çanakkale Onsekiz Mart University, Çanakkale, Turkey
Çanakkale Onsekiz Mart University, Çanakkale, Turkey
Hacettepe University, Ankara, Turkey
- 1 Shota Rustavelli University, Batumi, Georgia
- 2 Shota Rustavelli University, Batumi, Georgia
- 3 Çanakkale Onsekiz Mart University, Çanakkale, Turkey
- 4 Çanakkale Onsekiz Mart University, Çanakkale, Turkey
- 5 Hacettepe University, Ankara, Turkey
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Abstract
In order to obtain some results in the theory of semigroups, the concept of regularity, introduced by J. V. Neumann for elements of rings, is useful. In this work, all regular elements of semigroup defined by semilattices of the class ∑<sub>1</sub>(X,10)-<i>I</i> are studied. When X has finitely many elements, we have given the number of regular elements.
KeywordsSemilatticeSemigroupBinary Relation
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