Certain algebraic identities on prime rings with involution

2021/04/09 by A. Mamouni, Abdellah Mamouni, L. Oukhtite +3 · 1 citation
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Rings, Modules, and Algebras

paper · doi:10.1080/00927872.2021.1887203

Abstract

In this paper, we investigate commutativity of rings with involution provided with derivations and generalized derivations satisfying some algebraic identities. Furthermore, we provide examples to show that various restrictions in the hypotheses of our theorems are not superfluous.

Citations

• Derivations in prime rings
• Generalized derivations in rings*

Cited by

• Differential identities and S -Jordan derivations over S -prime and S -semiprime rings

Related

• Action of prime ideals on generalized derivations-I
• Structure of a factor ring R/P in terms of differential identities involving a new kind of involution
• Certain functional identities involving a pair of homogeneous derivations with central values in gr-prime rings
• Generalized derivations in rings*
• Commuting Jordan derivations over a Ring with idempotents