%A LAN Kai-yang, LU Bo
%T *f*-injective modules with respect to semidualizing modules
%0 Journal Article
%D 2020
%J JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE)
%R 10.6040/j.issn.1671-9352.0.2019.648
%P 59-64
%V 55
%N 8
%U {http://lxbwk.njournal.sdu.edu.cn/CN/abstract/article_3318.shtml}
%8
%X Let *R* be a commutative ring and *C* a semidualizing *R*-module. The *f*-injective modules with respect to a semidualizing *R*-module *C* is defined and studied, and it is proved that a homomorphism *F→M* of *R*-modules is an injective(*f*-injective)precover of *M* if and only if Hom_{}*R(C,F)*→Hom_{}*R(C,M)* is a *C*-injective(*C-f*-injective)precover.