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Couniform Modules | ||
| Baghdad Science Journal | ||
| Article 1, Volume 10, Issue 1, 2013, Pages 243-250 | ||
| Authors | ||
| Muna A.Ahmed; Inaam Mohammed Ali | ||
| Abstract | ||
| In this paper we introduce and study a new concept named couniform modules, which is a dual notion of uniform modules, where an R-module M is said to be couniform if every proper submodule N of M is either zero or there exists a proper submodule N1 of N such that is small submodule of (denoted by ) Also many relationships are given between this class of modules and other related classes of modules. Finally, we consider the hereditary property between R-module M and R-module R in case M is couniform. | ||
| Keywords | ||
| KEYWORDS; Hollow modules; Coquasi Dedekind module; copolyform modules; Small submodules; Semismall submodule; Coessential submodules | ||
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