Modules with chain conditions on non-essential submodules

被引：11

作者：

Smith, PF ^{[1
]}

Vedadi, MR

机构：

[1] Univ Glasgow, Dept Math, Glasgow G12 8QW, Lanark, Scotland

[2] Isfahan Univ Technol, Dept Math, Esfahan, Iran

来源：

COMMUNICATIONS IN ALGEBRA | 2004年 / 32卷 / 05期

关键词：

essential; Artinian; Noetherian; uniform; nonsingular; singular submodule; annihilators; divisible module; torsion-free module; discrete valuation ring; Krull dimension;

D O I：

10.1081/AGB-120029910

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate when modules which satisfy the descending (respectively, ascending) chain condition on non-essential submodules are uniform or Artinian (respectively, Noetherian).

引用

页码：1881 / 1894

页数：14