On the spectrum of a module over a commutative ring

被引：121

作者：

McCasland, RL

Moore, ME

Smith, PF

机构：

[1] UNIV TEXAS,DEPT MATH,ARLINGTON,TX 76019

[2] UNIV GLASGOW,DEPT MATH,GLASGOW G12 8QW,LANARK,SCOTLAND

来源：

COMMUNICATIONS IN ALGEBRA | 1997年 / 25卷 / 01期

关键词：

D O I：

10.1080/00927879708825840

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 M be an R-module. We investigate when the spectrum of M consisting of all prime submodules of M has a Zariski topology analogous to that for R. For finitely generated modules M this occurs if and only if M is a multiplication module.

引用

页码：79 / 103

页数：25

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