Pi-balanced torsion-free modules over a discrete valuation domain

被引：2

作者：

Arnold, DM

Rangswamy, KM ^{[1
]}

Richman, F

机构：

[1] Univ Colorado, Dept Math, Colorado Springs, CO 80933 USA

[2] Baylor Univ, Dept Math, Waco, TX 76798 USA

[3] Florida Atlantic Univ, Dept Math, Boca Raton, FL 33431 USA

来源：

JOURNAL OF ALGEBRA | 2006年 / 295卷 / 01期

关键词：

D O I：

10.1016/j.jalgebra.2005.02.003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Pi-balanced images of a finite direct sum L = J(1) circle plus center dot center dot center dot circle plus J(n) of purely indecomposable modules over a discrete valuation domain are investigated. Under a rigidity condition, these images can be classified by a complete set of isomorphism invariants. When the J(i) have finite rank, the torsion-free images of L admit an internal characterization. If, in addition, the Ji are all isomorphic, then any pi-balanced image of L is a direct summand. Several examples illustrate the concepts and the results. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：269 / 288

页数：20

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