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.

DOI

10.3906/mat-1504-59

Keywords

Refinement rings, projective modules, exchange rings

First Page

Last Page

Recommended Citation

SANGESARI, R. B, ABDULYOUSEFI, M. S, & ASHRAFI, N (2016). Extension of refinement rings. Turkish Journal of Mathematics 40 (1): 71-79. https://doi.org/10.3906/mat-1504-59

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