Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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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)
  • Received : 2016.11.13
  • Accepted : 2017.11.13
  • Published : 2018.03.23
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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.

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References

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