On the Skew Lie Product and Derivations of Prime Rings with Involution

Abstract

Let R be a ring with involution ′∗′. The skew Lie product of a, b ∈ R is defined by ∗[a, b] = ab − ba∗. The purpose of this paper is to study the commutativity of a prime ring which satisfies the various ∗-differential identities involving skew Lie product. Finally, we provide two examples to prove that the assumed restrictions on some of our results are not superfluous.

Keywords

• prime ring
• skew lie product
• derivation
• involution
• 16w10
• 16n60
• 16w25