Quasi-prime Submodules and Developed Zariski Topology

被引：5

作者：

Abbasi, A. ^{[1
]}

Hassanzadeh-lelekaami, D. ^{[1
]}

机构：

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

来源：

ALGEBRA COLLOQUIUM | 2012年 / 19卷

关键词：

quasi-prime submodule; quasi-primeful module; quasi-prime-embedding module; developed Zariski topology; top module; SPECTRUM; MODULE;

D O I：

10.1142/S1005386712000879

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let R be a commutative ring with nonzero identity and M be an R-module. Quasi-prime submodules of M and the developed Zariski topology on qSpec(M) are introduced. We also investigate the relationship between algebraic properties of M and topological properties of qSpec(M). Modules whose developed Zariski topology is To, irreducible or Noetherian are studied, and several characterizations of such modules are given.

引用

页码：1089 / 1108

页数：20

共 27 条

[1] ON DIMENSIONS OF FINITELY GENERATED MODULES [J].