Open AccessGeneralized multiplicative α-skew derivations on rings
Author(s) -
Abdelkarim Boua,
Mohammad Ashraf,
Ahmed Y. Abdelwanis
Publication year - 2022
Publication title -
boletim da sociedade paranaense de matemática
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.347
H-Index - 15
eISSN - 2175-1188
pISSN - 0037-8712
DOI - 10.5269/bspm.51851
Subject(s) - multiplicative function , skew , mathematics , semiprime ring , automorphism , ring (chemistry) , pure mathematics , prime ring , ideal (ethics) , prime (order theory) , discrete mathematics , algebra over a field , combinatorics , mathematical analysis , computer science , telecommunications , chemistry , philosophy , organic chemistry , epistemology
Let R be a semiprime (or prime) ring and U be a nonzero ideal of R. In the present paper, we study the notions of multiplicative generalized α-skew derivations on ideals of R and prove that if R admits a multiplicative generalized α-skew derivation G associated with a nonzero additive map d and an automorphism α, then d is necessarily an α-skew derivation of R. Also, we study the structure of a semiprime ring admitting a multiplicative generalized α-skew derivation satisfying more specific algebraic identities. Moreover, we also provide examples to show that the assumed restrictions cannot be relaxed