On \sim_{n} notion of conjugacy in Semigroups

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.

کلیدواژه ها:

Conjugacy ، connected ، Digraphs ، Maps ، Rp-hom