مشخصات پژوهش

عنوان	A kind of F-inverse split modules
نوع پژوهش	مقاله چاپ شده
کلیدواژه‌ها	Rickart module, Z(M)-inverse split module, Z2(M)-inverse split module
چکیده	Let M be a right module over a ring R. In this manuscript, we shall study on a special case of F-inverse split modules where F is a fully invariant submodule of M introduced in [12]. We say M is Z2(M)-inverse split provided f−1(Z2(M)) is a direct summand of M for each endomorphism f of M. We prove that M is Z2(M)-inverse split if and only if M is a direct sum of Z2(M) and a Z2-torsionfree Rickart submodule. It is shown under some assumptions that the class of right perfect rings R for which every right R-module M is Z2(M)-inverse split (Z(M)-inverse split) is precisely that of right GV -rings
پژوهشگران	علیرضا منیری حمزه کلایی (نفر دوم)، محراب حسین پور (نفر اول)