THE NILPOTENCY OF THE PRIME RADICAL OF A GOLDIE MODULE

被引：0

作者：

Beachy, John A. ^{[1
]}

Medina-Barcenas, Mauricio ^{[2
]}

机构：

[1] Northern Illinois Univ, Dept Math Sci, De Kalb, IL 60115 USA

[2] Benemerita Univ Autonoma Puebla, Fac Ciencias Matemat, Ave San Claudio & 18 Sur, Puebla 72570, Mexico

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2024年 / 60卷 / 01期

关键词：

Goldie module; prime radical; nilpotent submodule; retractable module; ACC on annihilators; projective module;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

With the notion of prime submodule defined by F. Raggi et al. we prove that the intersection of all prime submodules of a Goldie module M is a nilpotent submodule provided that M is retractable and M-(Lambda)-projective for every index set Lambda. This extends the well known fact that in a left Goldie ring the prime radical is nilpotent.

引用

页码：185 / 201

页数：17

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