Structure of a factor ring $R/P$ in terms of differential identities involving a new kind of involution

Abstract

Let $R$ be a ring and $P$ a prime ideal of $R.$ In this paper, we establish some commutativity criteria for the factor ring $R/P$ in terms of derivations of $R$ satisfying some algebraic identities involving a new kind of involution in relation with $P.$

13 pages