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

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

Résumé

In this paper we study commutativity of prime ring R with involution ∗ 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.