![Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days]({"type":"image" , "src" : "/sda/5943/TOC-Subject-Sample-2021-Mathematics-Statistics.jpg"})
An associative ring Ris said to be m-fold stable if whenever , there exists a yϵRsuch that
are all units. In this paper, we show that m-foid stable condition is Morita-invariant. Using this result, we prove the following facts. Theorem 6:Let Rbe an exchange ring with primitive factors artinian. If m! ϵU(R), then Ris m-fold stable Theorem 10:Let Rbe an exchange ring with all idempotents central. If |R/M| > mfor all maximal ideal Mof R, then Ris m-fold stable.
Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?
To request a reprint or corporate permissions for this article, please click on the relevant link below:
Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?
Obtain permissions instantly via Rightslink by clicking on the button below:
If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.