ON TWO PROBLEMS CONCERNING THE ZARISKI TOPOLOGY OF MODULES

被引：0

作者：

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

Ovlyaee-Sarmazdeh, R. ^{[1
]}

Pourmortazavi, S. S. ^{[1
]}

机构：

[1] Univ Guilan, Fac Math Sci, Dept Pure Math, POB 41335-19141, Rasht, Iran

来源：

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2016年 / 42卷 / 04期

关键词：

Prime spectrum; classical Zariski topology; spectral space; PRIME SPECTRUM;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be an associative ring and let M be a left R-module. Let Spec(R)(M) be the collection of all prime submodules of M (equipped with classical Zariski topology). It is conjectured that every irreducible closed subset of Spec(R)(M) has a generic point. In this article we give an affirmative answer to this conjecture and show that if M has a Noetherian spectrum, then Spec(R)(M) is a spectral space.

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页码：941 / 948

页数：8

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