id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
iajs-747	Hadi, I.M-A; Ghawi, Th. Y.	Essentially Quasi-Invertible Submodules and Essentially Quasi-Dedekind Modules	2017	13	.pdf	application/pdf	3999	280	80	1.2(4) ) is not true in general , for example : Let ZZM  , considered as a Z-module and let MZN  )0( , then it is clear that NannMann RR  = (0) , but N is not essentially quasi-invertible submodule of M , since N ≰e M and also N is not quasi-invertible . 5) Let J be an ideal of a ring R . As a generalizations to these concepts we introduce the following concepts : We call a submodule N of M is essentially quasi- invertible if , N ≤e M and N is quasi-invertible .And an R-module M is called essentially quasi-Dedekind if every essential submodule N of M is quasi-invertible ; ( i.e 0),( MNMHom ) .	cache/iajs-747.pdf	txt/iajs-747.txt