Title of article :
Couniform Modules
Author/Authors :
Ali, Inaam Mohammed University of Baghdad - Ibn Alheitham College of Eduction - Department Of Mathematics, Iraq , Ahmed, Muna A. University of Baghdad - College Of Science for Women - Department of Mathematics, Iraq
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 Ni 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 :
Epiform modules , Hollow modules , Coquasi Dedekind module , Copolyform modules , Small submodules , Semismall submodule , Coessential submodules
Journal title :
Baghdad Science Journal
Journal title :
Baghdad Science Journal
