A STUDY OF IDEMPOTENT ELEMENTS IN VARIANTS OF FINITE FULL AND PARTIAL TRANSFORMATION SEMIGROUPS
Keywords:
Semigroup, variant Semigroup, transformations, full transformation, Partial transformation & Idempotent element.Abstract
This study was carried out to synthesize existing result under characterization of idempotent elements in the variant of a finite full transformation semigroup. And as a consequence of the previous results, now the study aim to add to the work done “ a study of idempotent elements in a variant of finite partial transformation semigroup” with the goal of determining the behavior, the properties and the relations between the elements of the two semigroups and further address the gaps with the recommendation established earlier. This study reveals novel insights into the Characterization of idempotent elements in the variant of finite partial transformation semigroup. This research contributes to a more profound understanding of the intricacies of these semigroups, laying the groundwork for future explorations in algebraic structures and transformation semigroups.
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