Abstract
In this paper, we call a module almost -lifting if, for any element , there exists a decomposition such that and . This definition generalizes the lifting modules and left generalized semiregular rings. Some properties of these modules are investigated. We show that if in , where s are orthogonal central idempotents, then is an almost -lifting module if and only if each is almost -lifting. In addition, we call a module - -lifting if, for any , there exists a decomposition for some positive integer such that and . We characterize semi- -regular rings in terms of - -lifting modules. Moreover, we show that if and are abelian - -lifting modules with for , then is a - -lifting module.
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.
