Counting of Conjugacy classes in partial transformation semigroup.
Aftab Hussain Shah, Mohd Rafiq Parray, Dilawar Juneed Mir · International journal of nonlinear analysis and applications · 2022
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.