A Pair of Derivations on Prime Rings with Antiautomorphism

Abstract

This article examines the commutativity of rings with antiautomorphisms, specifically when they are equipped with derivations that satisfy certain algebraic identities. Moreover, we present examples to demonstrate the necessity of the various restrictions imposed in the hypotheses of our theorems.

Keywords

• prime ring
• automorphism
• antiautomorphism
• derivation
• commutator
• strong commutativity preserving