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.

DOI

10.3906/mat-1504-59

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