Open AccessCouniform Modules
Author(s) -
Baghdad Science Journal
Publication year - 2013
Publication title -
mağallaẗ baġdād li-l-ʿulūm
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.167
H-Index - 6
eISSN - 2411-7986
pISSN - 2078-8665
DOI - 10.21123/bsj.10.1.243-250
Subject(s) - mathematics , class (philosophy) , property (philosophy) , dual (grammatical number) , zero (linguistics) , discrete mathematics , combinatorics , pure mathematics , computer science , linguistics , philosophy , artificial intelligence , epistemology
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.