Dergiler / Cankaya University Journal of Science and Engineering / 2010 / Cilt: 7 - Sayı: 1
W-Coatomic Modules
- Sayfa
- 1–1
- DOI
- —
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.