ON COFINITELY WEAK RAD-SUPPLEMENTED MODULES

Abstract

In this paper, necessary and su¢ cient conditions for a quotientmodule are found to be a co...nitely weak Rad-supplemented module underwhich circumstances. Nevertheless, some relations are investigated betweenco...nitely Rad-supplemented modules and co...nitely weak Rad-supplementedmodules. Lastly, we show that an arbitrary ring R is a left Noetherian Vif and only if every weak Rad-supplemented R module is injective.ring if and only if every weak Rad-supplemented Rmodule is injective.