DECOMPOSING FINITELY GENERATED TORSION MODULES

被引：1

作者：

CLARK, J ^{[1
]}

BRANDAL, W ^{[1
]}

机构：

[1] UNIV IDAHO,DEPT MATH & STAT,MOSCOW,ID 83843

来源：

COMMUNICATIONS IN ALGEBRA | 1990年 / 18卷 / 01期

关键词：

D O I：

10.1080/00927879008823909

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be a commutative ring and let be a filter of ideals of R. We give three characterizations of the rings with the property that all finitely generated 7-pretorsion R-modules decompose into a direct sum of cyclic Rsubmodules. One of these characterizations involves decomposing the filter J into a product of subfilters. This filter decomposition is shown to be unique, and is used to characterize several other ring properties relative to the filter of ideals. © 1990, Taylor & Francis Group, LLC. All rights reserved.

引用

页码：225 / 245

页数：21

共 6 条

[1] RINGS THAT ARE FGC RELATIVE TO FILTERS OF IDEALS [J].