REDUCED RINGS, MORITA CONTEXTS AND DERIVATIONS

N. M. Muthana; S. K. Nauman

N. M. Muthana
S. K. Nauman

Keywords: (Semi-) projective Morita contexts, Morita similar rings, reduced rings, prime rings, semiprime rings, and derivations

Abstract

If two rings are ingredients of a semi-projective Morita context, in which one ring is commutative and the other is reduced, then it is shown here that the reduced ring will also become commutative. Some consequences are studied and eﬀects of various types of derivations on these rings are listed.