Abstract
It is shown that a semiperfect ring R R is quasi-Frobenius if and only if every closed submodule of R ( ω ) R(\omega ) is non-small, where R ( ω ) R(\omega ) denotes the direct sum of ω \omega copies of the right R R -module R R and ω \omega is the first infinite ordinal.
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.
