Turkish Journal of Mathematics
Article Title
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.
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