A generalization of Rad-supplemented modules

Abstract

We study some properties of (amply) f-Rad-supplemented modules and fwrs-modules as a proper generalization of (amply) Rad-supplemented. We show that: (1) any finite direct sum of finitely generated, projective f-Rad-supplemented modules is f-Rad-supplemented; (2) a locally Noetherian f-Rad-supplemented module is f-supplemented; (3) any generalized cover of a fwrs-module is fwrs. © 2011 Academic Publications.