Article ID Journal Published Year Pages File Type
4588658 Journal of Algebra 2007 11 Pages PDF
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