Tag Archives: Idempotent elements

Characterization of idempotent elements in a variant of the finite full transformation semigroup

Numéro de la revue: Volume 28 , Numéro 1
Auteurs: Babagana Ibrahim Bukar1*, Babagana Alhaji Madu2 & Shuaibu Garba Ngulde3

1Deptartment of Mathematics and Statistics, Yobe State University, Damaturu-Nigeria

2Department of Mathematical Sciences, University of Maiduguri, Borno-Nigeria

3Department of Mathematical Sciences, University of Maiduguri, Borno-Nigeria

 

Télécharger l’articlep2

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 Green’s relation and classification of certain Subsemigroups. 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.

Keywords:

Semigroup, Full transformation, Idempotent elements, Variant Semigroup.  

Mots-clés , , ,