id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
iajs-156	S.AL-Mothafar, Nuhad; A. Humod, Ghaleb	2-Regular Modules II	2017	10	.pdf	application/pdf	3730	249	82	Proposition (1.3): Let M be 2-regular R-module then for every element x of Mand every element r  R, r2x = r2tr2x for some t  R. Proof: Let x be an element of M and r be an element of R. Since r2x  r2M and r2x  Proof: Let x be a non-zero element of M. Since R R ann(M) ann(x) , there exists an epimorphism f: R R R R ann(M) ann(x)  defined by f (r + R ann(M) )	cache/iajs-156.pdf	txt/iajs-156.txt