Boletim da Sociedade Paranaense de Matemática (Feb 2022)
On a characterization of commutativity for prime rings via endomorphisms
Abstract
Our aim in the present paper is to introduce new classes of endomorphisms and study their connection with commutativity of prime rings with involution of the second kind. Furthermore, we provide examples to show that the various restrictions imposed in the hypotheses of our theorems are not superfluous.