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-A...
Open access
Research Article10.9734/BJMCS/2014/7863
We consider the class E of endo-Noetherian modules, i.e. the modules M which satisfying the ascending chain condition for endomorphic kernels: any ascending chain Kerf1 Kerf2 Kerfn is stationary, where fi 2 End(M). Let N be the class of Noetherian modules. It is clear that every...
Open access
Research Article10.9734/BJMCS/2014/5567