Some Results on Locally Noetherian Modules and Locally Artinian Modules

被引：4

作者：

Kourki, Farid ^{[1
]}

Tribak, Rachid ^{[2
]}

机构：

[1] Ctr Reg Metiers Educ & Format CRMEF Tanger, BP 4063, Larache, Morocco

[2] Ctr Reg Metiers Educ & Format CRMEF Tanger, Ave My Abdelaziz,BP 3117, Souani, Tangier, Morocco

来源：

KYUNGPOOK MATHEMATICAL JOURNAL | 2018年 / 58卷 / 01期

关键词：

artinian modules; noetherian modules; locally artinian modules; locally noetherian modules;

D O I：

10.5666/KMJ.2018.58.1.1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that if R is a commutative ring, then every maximal ideal of R is idempotent if and only if every locally noetherian (locally artinian) R-module is semisimple.

引用

页码：1 / 8

页数：8

共 28 条

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[10] On the Dual of Hilbert Coefficients and Width of the Associated Graded Modules over Artinian Modules
Cheraghi, Fatemeh
Mafi, Amir
FILOMAT, 2019, 33 (11) : 3277 - 3290

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