W-Coatomic Modules

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

References

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