Some identities involving endomorphisms of prime rings

Document Type : Original Manuscript

Author

Department of Mathematics, University Sidi Mohammed Ben Abdellah-Fez, Polydisciplinary Faculty-Taza, LSI, P. O. Box 1223, Morocco.

Abstract

In this paper we will extend some results on the commutativity of quotient rings proved in [1] and [11]. However, we will consider endomorphisms instead of derivations and generalized derivations, which is sufficient to obtain good results. We will also show that the conditions imposed in that paper cannot be removed.

Keywords


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