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Generalized umbrella rings

Authors :
Tang, Gaohua
Huang, Zhaoyong
Wang, Fanggui
Source :
Journal of Algebra. Sep2007, Vol. 315 Issue 2, p555-565. 11p.
Publication Year :
2007

Abstract

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 is free if R is a generalized umbrella ring with weak global dimension two. [Copyright &y& Elsevier]

Details

Language :
English
ISSN :
00218693
Volume :
315
Issue :
2
Database :
Academic Search Index
Journal :
Journal of Algebra
Publication Type :
Academic Journal
Accession number :
26246364
Full Text :
https://doi.org/10.1016/j.jalgebra.2007.01.034