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http://dx.doi.org/10.5666/KMJ.2018.58.1.1

Some Results on Locally Noetherian Modules and Locally Artinian Modules

Kourki, Farid (Centre Regional des Metiers de l'Education et de la Formation (CRMEF)-Tanger, Annexe de Larache)
Tribak, Rachid (Centre Regional des Metiers de l'Education et de la Formation (CRMEF)-Tanger, Avenue My Abdelaziz)

Publication Information

Kyungpook Mathematical Journal / v.58, no.1, 2018 , pp. 1-8 More about this Journal

Abstract

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.

Keywords

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

Citations & Related Records

Reference

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