@article {
author = {Hosseinpour, M. and Moniri Hamzekolaee, A. R.},
title = {A KIND OF F-INVERSE SPLIT MODULES},
journal = {Journal of Algebraic Systems},
volume = {7},
number = {2},
pages = {167-178},
year = {2020},
publisher = {Shahrood University of Technology},
issn = {2345-5128},
eissn = {2345-511X},
doi = {10.22044/jas.2019.7211.1353},
abstract = {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 Z 2(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.},
keywords = {Rickart module,Z(M)-inverse split module,Z^2(M)-inverse split module},
url = {http://jas.shahroodut.ac.ir/article_1587.html},
eprint = {http://jas.shahroodut.ac.ir/article_1587_488e6eda3752698fdd43a0b3c52a0dde.pdf}
}