On Modules Satisfying the Descending Chain Condition on Cyclic Submodules  

作　　者：Farid Kourki Rachid Tribak 

机构地区：[1]Centre Regional des Metiers de l'Education et de la Formation(CRMEF)-Tanger Annexe de Larache,B.P.4063,Larache,Morocco [2]Centre Regional des Metiers de l'Education et de la Formation(CRMEF-TTH)-Tanger Avenue My Abdelaziz,Souani,B.P.3117,Tangier,Morocco

出　　处：《Algebra Colloquium》2020年第3期531-544,共14页代数集刊（英文版）

摘　　要：A module satisfying the descending chain condition on cyclic submodules is called coperfect.The class of coperfect modules lies properly bet ween the class of locally artinian modules and the class of semiartinian modules.Let R be a commutative ring with identity.We show that every semiartinian Ti-module is coperfect if and only if R is a T-ring.It is also shown that the class of coperfect R-modules coincides with the class of locally artinian R-modules if and only if m/m^(2)is a finitely genera ted R-module for every maximal ideal m of R.

关 键 词：coperfect modules locally artinian modules perfect rings semiartinian modules(rings) 

分 类 号：O15[理学—数学]