Extension of refinement rings

Authors

RAHMAN BAHMANI SANGESARI
MARJAN SHEIBANI ABDULYOUSEFI
NAHID ASHRAFI

DOI

10.3906/mat-1504-59

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

First Page

71

Last Page

79

Recommended Citation

SANGESARI, RAHMAN BAHMANI; ABDULYOUSEFI, MARJAN SHEIBANI; and ASHRAFI, NAHID (2016) "Extension of refinement rings," Turkish Journal of Mathematics: Vol. 40: No. 1, Article 6. https://doi.org/10.3906/mat-1504-59
Available at: https://journals.tubitak.gov.tr/math/vol40/iss1/6