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http://dx.doi.org/10.4134/BKMS.2015.52.2.549

MODULES SATISFYING CERTAIN CHAIN CONDITIONS AND THEIR ENDOMORPHISMS  

Wang, Fanggui (College of Mathematics Sichuan Normal University)
Kim, Hwankoo (School of Computer and Information Engineering Hoseo University)
Publication Information
Bulletin of the Korean Mathematical Society / v.52, no.2, 2015 , pp. 549-556 More about this Journal
Abstract
In this paper, we characterize w-Noetherian modules in terms of polynomial modules and w-Nagata modules. Then it is shown that for a finite type w-module M, every w-epimorphism of M onto itself is an isomorphism. We also define and study the concepts of w-Artinian modules and w-simple modules. By using these concepts, it is shown that for a w-Artinian module M, every w-monomorphism of M onto itself is an isomorphism and that for a w-simple module M, $End_RM$ is a division ring.
Keywords
GV-torsion-free; w-module; w-Noetherian module; w-simple module; w-Artinian module;
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Times Cited By KSCI : 3  (Citation Analysis)
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