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.
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页码：1 / 8
页数：8
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