L-STABLE RINGS

dc.contributor.author	Horoub, Ayman M. A.
dc.contributor.author	Nicholson, W. K.
dc.date.accessioned	2022-02-18T21:09:34Z
dc.date.available	2022-02-18T21:09:34Z
dc.date.issued	2021
dc.identifier.uri	http://dspace.hebron.edu:80/xmlui/handle/123456789/1070
dc.description.abstract	If 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.iso	en	en_US
dc.publisher	International Electronic Journal of Algebra	en_US
dc.subject	Stable range	en_US
dc.subject	Uniquely generated ring	en_US
dc.subject	Internal cancellation ring	en_US
dc.subject	Von Neumann regular ring	en_US
dc.subject	Unit-regular ring	en_US
dc.subject	Triangular matrix ring	en_US
dc.subject	Left idealtors	en_US
dc.subject	L-stable ring	en_US
dc.title	L-STABLE RINGS	en_US
dc.type	Article	en_US