Extension of refinement rings

Authors: RAHMAN BAHMANI SANGESARI, MARJAN SHEIBANI ABDULYOUSEFI, NAHID ASHRAFI

Abstract: In this paper we prove that a ring $R$ in which every finitely generated projective $R$-module lifts modulo $J(R)$ is a refinement ring if and only if $ \frac{R}{J(R)}$ is a refinement ring. We also prove that the refinement property for rings is Morita invariant. Several examples are constructed as well.

Keywords: Refinement rings, projective modules, exchange rings

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