Abstract
In this paper, we investigate necessary and sufficient conditions under which a ring R satisfies unit ideal–stable range conditions. We prove that if I is a bounded regular ideal of a ring R, then unit (I)-stable range condition, unit ⟨I⟩-stable range condition and unit [I]-stable range condition coincide with each other.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: 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.