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
收藏
页码：1881 / 1894
页数：14
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