Krull-Schmidt fails for serial modules

被引：62

作者：

Facchini, A

机构：

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1996年 / 348卷 / 11期

关键词：

D O I：

10.1090/S0002-9947-96-01740-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We answer a question posed by Warfield in 1975: the Krull-Schmidt Theorem does not hold for serial modules, as we show via an example. Nevertheless we prove a weak form of the Krull-Schmidt Theorem for serial modules (Theorem 1.9). And we show that the Grothendieck group of the class of serial modules of finite Goldie dimension over a fixed ring R is a free abelian group.

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页码：4561 / 4575

页数：15

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