r-notion of Conjugacy in Partial and Full Injective Transformations

In this paper, we define a new notion of conjugacy in semigroups that reduces to the n-notion of conjugacy in an inverse semigroup. We compare our new notion with the existing notions. We characterize the notion in partial injective and in full injective transformations and determine the conjugacy classes in these semigroups.

کلیدواژه ها:

Semigroup ، Conjugacy ، Transformation ، Digraphs