Main Article Content

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


Babagana Ibrahim Bukar
Babagana Alhaji Madu
Shuaibu Garba Ngulde

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 Tn ) with the aim of studying the variants of this semigroup. There have been many approaches in studying  the variant semigroup (i.e Tαn for ? ∈ Tn ), 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 semigroupTn , and present the findings in the form  of results.

     View our Diamond Open Access Survey (closes on February 29, 2024)


Journal Identifiers


eISSN: 2352-9717
print ISSN: 1111-4924