Commutativity theorems in prime rings with involution involving symmetric and skew-symmetric elements

Omar AIT ZEMZAMI; Kamal Charrabi; Abdellah Mamouni

doi:10.5269/bspm.68318

Commutativity theorems in prime rings with involution involving symmetric and skew-symmetric elements

Authors

Omar AIT ZEMZAMI High School of Technology, Ibn Zohr University, Agadir
Kamal Charrabi Department of Mathematics, Faculty of Sciences, Moulay IsmaÃ¯l University, Meknes
Abdellah Mamouni Department of Mathematics, Faculty of Sciences, Moulay IsmaÃ¯l University, Meknes

DOI:

https://doi.org/10.5269/bspm.68318

Abstract

In this paper we study commutativity of prime ring R with involution âˆ— which admits a generalized derivation satisfying certain algebraic identities for symmetric and skew-symmetric elements. We have also examined specific conclusions related to this topic in our research.