W-Coatomic Modules


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Güroğlu A. T., Bilhan G.

Çankaya University Journal of Science and Engineering, cilt.7, sa.1, ss.17-24, 2010 (Hakemli Dergi)

Özet

In this paper we introduce w-coatomic modules and some of their properties. We prove that the nite 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.