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dc.contributor.authorHoroub, Ayman M. A.-
dc.contributor.authorNicholson, W. K.-
dc.date.accessioned2022-02-18T21:09:34Z-
dc.date.available2022-02-18T21:09:34Z-
dc.date.issued2021-
dc.identifier.urihttp://dspace.hebron.edu:80/xmlui/handle/123456789/1070-
dc.description.abstractIf L(R) is a set of left ideals defined in any ring R, we say that R is L-stable if it has stable range 1 relative to the set L(R). We explore L-stability in general, characterize when it passes to related classes of rings, and explore which classes of rings are L-stable for some L. Some well known examples of L-stable rings are presented, and we show that the Dedekind finite rings are L-stable for a suitable L.en_US
dc.language.isoenen_US
dc.publisherInternational Electronic Journal of Algebraen_US
dc.subjectStable rangeen_US
dc.subjectUniquely generated ringen_US
dc.subjectInternal cancellation ringen_US
dc.subjectVon Neumann regular ringen_US
dc.subjectUnit-regular ringen_US
dc.subjectTriangular matrix ringen_US
dc.subjectLeft idealtorsen_US
dc.subjectL-stable ringen_US
dc.titleL-STABLE RINGSen_US
dc.typeArticleen_US
Appears in Collections:Journals

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