id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
iajs-117	AL-Mothafar, Nuhad S.; Abdil .Al-Khalik, Adwia J.	á´ª-Prime Submodules	2017	10	.pdf	application/pdf	6024	367	91	But N is -prime submodule of M. Proof : Let : (Z8) (Z8)  {}, where (N) = N +  2  , N  M , then for each r Z, ̅ Z8, if r ̅ N ,then ̅ N + (N) = N + N +  2 Note that, the intersection of two -prime submodules of an R – module M need not be a -prime submodule of M ,for example : The Z-module Z6 has two -prime submodules , N1 =  2 and N2 =  3  but N1 N2 = 0  is not a -prime submodule of Z6 ,where (N) = N,  N  M .	cache/iajs-117.pdf	txt/iajs-117.txt