Presentation of Conjugacy Classes in the Partial Order - Preserving Transformation Semigroup with the aid of graph

Abstract

Let  denote the set of all partial transformation semigroup in a finite set 3, .., n} that is the set of all mapping from . The aim of this paper is to study the elements of partial order - - preserving transformation semigroup and  arranged the elements in their respective conjugacy classes with the aids of unlabelled graph.

Keywords: Semigroup, transformation semigroup, conjugacy, conjugacy classes, graph, partial order – preserving transformation semigroup.