W-Coatomic Modules
W-Coatomic Modules
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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- Yayın Aralığı: Yılda 2 Sayı
- Başlangıç: 2009
- Yayıncı: Çankaya Üniversitesi