When every projective module is a direct sum of finitely generated modules

被引：13
作者：
McGovern, Warren Wm.
Puninski, Gena
Rothmaler, Philipp
机构：
[1] CUNY, Bronx, NY 10453 USA
[2] Bowling Green State Univ, Dept Math & Stat, Bowling Green, OH 43403 USA
[3] Univ Manchester, Sch Math, Manchester M13 9PL, Lancs, England
来源：
JOURNAL OF ALGEBRA | 2007年 / 315卷 / 01期
基金：
美国国家科学基金会;
关键词：
non-finitely generated projective module; decomposition theory; principal ideal ring; bezout ring; (weakly) semihereditary ring; rings of continuous functions;
D O I：
10.1016/j.jalgebra.2007.01.043
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We characterize rings over which every projective module is a direct sum of finitely generated modules, and give various examples of rings with and without this property. (C) 2007 Elsevier Inc. All rights reserved.
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页码：454 / 481
页数：28
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