W-Coatomic Modules
Authors : Gökhan Bilhan, Tuğba Güroğlu
Pages : 0-0
View : 9 | Download : 6
Publication Date : 2010-02-01
Article Type : Research
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