r-notion of Conjugacy in Partial and Full Injective Transformations

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

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

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

doi
10.22034/as.2022.2667
چکیده

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.

کلیدواژه‌ها
Semigroup, Conjugacy, Transformation, Digraphs