On the Maximal Spectrum of a Module and Zariski Topology

被引：6

作者：

Ansari-Toroghy, H. ^{[1
]}

Keyvani, S. ^{[1
]}

机构：

[1] Univ Guilan, Fac Math Sci, Dept Pure Math, Rasht, Iran

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2015年 / 38卷 / 01期

关键词：

Maximal submodule; Max-injective module; Max-spectral space; Zariski topology; PRIME SPECTRUM; RINGS;

D O I：

10.1007/s40840-014-0020-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For any module Mover a commutative ring R, Spec(R)(M) (resp. Max(R)(M)) of M is the collection of all prime (resp. maximal) submodules. In this article, we investigate the interplay between the topological properties of Max(R)(M) and module theoretic properties of M. Also, for various types of modules M, we obtain some conditions under which Max(R)(M) is homeomorphic with the maximal ideal space of some ring.

引用

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页码：303 / 316

页数：14

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