CHARACTERIZATION OF IDEMPOTENT ELEMENTS IN A VARIANT OF THE FINITE FULL TRANSFORMATION SEMIGROUP

Bukar, Babagana Ibrahim; Madu, Babagana Alhaji; Ngulde, Shuaibu Garba

Synthèse
Volume 28, Numéro 1, Pages 1-7
2022-09-11

Characterization Of Idempotent Elements In A Variant Of The Finite Full Transformation Semigroup

Authors : Bukar Babagana Ibrahim . Madu Babagana Alhaji . Ngulde Shuaibu Garba .

Abstract

In this research work, we consider a finite set X with n elements and introduce a systematic discussion of the transformation semigroup on the finite set ( namely the full transformation semigroup ) with the aim of studying the variants of this semigroup. There have been many approaches in studying the variant semigroup ( i.e for ), especially characterizing of Greens relation, classification of certain Subsemigroup, e.t.c. In this particular work we study and characterize the idempotent elements in a variant of the finite full transformation semigroup , and present the findings in the form of results.