A STUDY OF SKEW LIE PRODUCT INVOLVING GENERALIZED DERIVATIONS

Résumé

Let R be a ring with involution σ. Notation r[t1; t2] denotes the skew lie product and defined by (t1t2 - t2σ(t1)). The main objective of this paper is to investigate the commutativity of σ-prime rings with involution σ of the second kind equipped with skew lie product involving generalized derivation. Finally, we provide some examples to demonstrate that the conditions assumed in our results are not unnecessary.