Primary modules over commutative rings

被引：0
|
作者：
Smith, PF [1 ]
机构：
[1] Univ Glasgow, Dept Math, Glasgow G12 8QW, Lanark, Scotland
来源：
GLASGOW MATHEMATICAL JOURNAL | 2001年 / 43卷
关键词：
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The radical of a module over a commutative ring is the intersection of all prime submodules. It is proved that if R is a commutative domain which is either Noetherian or a UFD then R is one-dimensional if and only if every (finitely generated) primary R-module has prime radical, and this holds precisely when every (finitely generated) R-module satisfies the radical formula for primary submodules.
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页码：103 / 111
页数：9
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