Some commutativity criteria involving endomorphism conditions on prime ideals

Abstract

In this paper we initiate a new approach consisting to characterize the commutativity of a quotient ring $R/P$ by endomorphisms of $R$ satisfying some algebraic identities involving the prime ideal $P.$ Some well-known results concerning the commutativity of prime (semi-prime) rings have been improved.

Keywords

• prime ideals
• commutativity
• endomorphisms

References

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