W-Coatomic Modules

Year 2010, Volume: 7 Issue: 1, - , 01.02.2010

Gökhan Bilhan Tuğba Güroğlu

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

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