On∼nnotion of conjugacy in semigroups

نویسندگان

1 دانشگاه صنعتی اصفهان

2 دانشگاه شهید چمران اهواز

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.