# Counting of Conjugacy classes in partial transformation semigroup.

Document Type : Research Paper

Authors

Department of Mathematics, Central University of Kashmir, Ganderbal-191201, India

10.22075/ijnaa.2021.24082.2666

Abstract

J.Koneiczny in [8] introduced the new notion $\sim_{n}$ notion of conjugacy in semigroups. In this paper, we count the number of conjugacy classes in Partial Transformation semigroup $\mathcal{P}(A)$ for an infinite set $A$ with respect to $\sim_{n}$ notion of conjugacy.

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