Abstract
Let [Formula: see text] be a class of left R-modules that contains all projective left R-modules. We study a kind of stability of [Formula: see text]-Gorenstein projective modules and settle in affirmative the following question: given an exact sequence of [Formula: see text]-Gorenstein projective left R-modules G = ⋯ → G1 → G0 → G0 → G1 → ⋯ such that the complex Hom R(G, F) is exact for each left R-module [Formula: see text], is the module [Formula: see text]-Gorenstein projective? Some applications are also given.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
