Idempotent ideals and nonfinitely generated projective modules over integral group rings of polycyclic-by-finite groups

被引：3
|
作者：
Linnell, Peter A. [1 ]
Puninski, Gena
Smith, Patrick
机构：
[1] Virginia Tech, Dept Math, Blacksburg, VA 24061 USA
[2] Univ Manchester, Sch Math, Manchester M13 9PL, Lancs, England
[3] Univ Glasgow, Dept Math, Glasgow, Lanark, Scotland
来源：
JOURNAL OF ALGEBRA | 2006年 / 305卷 / 02期
基金：
美国国家科学基金会;
关键词：
nonfinitely generated projective module; idempotent ideal; integral group ring; polycyclic-by-finite group;
D O I：
10.1016/j.jalgebra.2005.12.010
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that every nonfinitely generated projective module over the integral group ring of a polycyclic-by-finite group G is free if and only if G is polycyclic. (c) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码：845 / 858
页数：14
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