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

Author(s):

Aftab Shah , Mohd Parray *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
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.
Keywords:

Conjugacy , connected , Digraphs , Maps , Rp-hom

Language:
English
Published:
Journal of Algebraic Structures and Their Applications, Volume:10 Issue: 1, Winter-Spring 2023
Pages:
57 to 72
https://www.magiran.com/p2546152