Abstract
Let R be a ring. A left R-module M is called strongly max-flat if for every simple right R-module S and every i ≥ 1. In this article, we show that the class of strongly max-flat R-modules and its Ext-orthogonal class form a perfect and hereditary cotorsion pair. This result has some applications to the characterizations of right SF, semisimple, left perfect, von Neumann regular and quasi-Frobenius rings.
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.
