On finitely generated multiplication modules

被引：0
|
作者：
R. Nekooei
机构：
[1] Shahid Bahonar University,Department of Mathematics
来源：
Czechoslovak Mathematical Journal | 2005年 / 55卷
关键词：
prime submodules; multiplication modules; distributive lattices; spectral spaces;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We shall prove that if M is a finitely generated multiplication module and Ann(M) is a finitely generated ideal of R, then there exists a distributive lattice M such that Spec(M) with Zariski topology is homeomorphic to Spec(M) to Stone topology. Finally we shall give a characterization of finitely generated multiplication R-modules M such that Ann(M) is a finitely generated ideal of R.
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页码：503 / 510
页数：7
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