On Perfect Commutative EIFA-rings
Mohameth Alassane Ndiaye, Cheikh Thiecoumba Gueye
Journal of Advances in Mathematics and Computer Science · pp. 1166–1169 · Published 24 Feb 2014
10.9734/BJMCS/2014/7863Abstract
We consider the class F of endo-Artinian modules, i.e. the modules M which satisfying the descending chain condition for endomorphic images: any descending chain is stationary, where . Let A be the class of Artinian modules. It is clear that every Artinian R-moduleM is endo-Artinian, so A ⊂ F, but the converse is not true. Indeed, is a non-Artinian -module which is endo-Artinian. The aim of this work, is to characterize perfect commutative rings for which F and A are identical.
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