On $\sim_{n}$ notion of conjugacy in semigroups

نویسندگان
Shah, Aftab Hussain ID 1
Parray, Mohd Rafiq ID 2

1 Department of Mathematics, Central University of Kashmir, Ganderbal, 191201, India.

2 Department of Mathematics, Central University of Kashmir, Ganderbal, 191201, India.

doi
10.22034/as.2022.2724
چکیده

In this paper, we study the $\sim_{n}$ notion of conjugacy in semigroups. After proving some basic results, we characterize this notion in subsemigroups of $\mathcal{P}(T)$ (partial transformation semigroup) and $\mathcal{T}(T)$ (transformation semigroup) through digraphs and their restrictive partial homomorphisms.

کلیدواژه‌ها
Conjugacy, connected, Digraphs, Maps, Rp-hom