Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4588658 | Journal of Algebra | 2007 | 11 Pages |
Abstract
In this paper, the notion of generalized umbrella rings is introduced. We show that every generalized umbrella ring is a stably coherent ring. As an application, we show that every finitely generated projective module over R[x] is free if R is a generalized umbrella ring with weak global dimension two.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory