W-Coatomic Modules

Authors : Gökhan BİLHAN, Tuğba GÜROĞLU

Pages : 0-0

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Publication Date : 2010-02-01

Article Type : Research Paper

Abstract :In this paper we introduce w-coatomic modules and some of their properties. We prove that the finite sum of w-coatomic modules is w-coatomic. It is shown that w-coatomic modules are closed under extensions. It is proved that if an R-module M is reduced and every proper semisimple submodule N of M has a supplement in M, then M is w-coatomic.
Keywords : Coatomic modules, w coatomic modules, semisimple modules