TY - JOUR ID - 2693 TI - r-notion of Conjugacy in Partial and Full Injective Transformations JO - Algebraic Structures and Their Applications JA - AS LA - en SN - 2382-9761 AU - Shah, Aftab Hussain AU - Parray, Mohd Rafiq AD - Department of Mathematics, Central University of Kashmir, Ganderbal, 191201. Y1 - 2022 PY - 2022 VL - 9 IS - 2 SP - 135 EP - 148 KW - Semigroup KW - Conjugacy KW - Transformation KW - Digraphs DO - 10.22034/as.2022.2667 N2 - 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. UR - https://as.yazd.ac.ir/article_2693.html L1 - https://as.yazd.ac.ir/article_2693_e32d6799b50cbfcde90d2bc7fc0fe335.pdf ER -