Extension of refinement rings
Authors : Rahman Bahmani Sangesari, Marjan Sheibani Abdulyousefi, Nahid Ashrafi
Pages : 71-79
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Publication Date : 9999-12-31
Article Type : Makaleler
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