Couniform modules

الملخص EN

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 N/N1 is small submodule of M/N1 (denoted by N/(N1 ) « M/N1) 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.