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

Mogbonju M. M, Gwary T. M, Ojeniyi A. B


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.

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ISSN (Paper)2224-5804 ISSN (Online)2225-0522

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