Please use this identifier to cite or link to this item:
Authors: Horoub, Ayman M. A.
Nicholson, W. K.
Keywords: Stable range
Uniquely generated ring
Internal cancellation ring
Von Neumann regular ring
Unit-regular ring
Triangular matrix ring
Left idealtors
L-stable ring
Issue Date: 2021
Publisher: International Electronic Journal of Algebra
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.
Appears in Collections:Journals

Files in This Item:
File Description SizeFormat 
L-stable.pdf434.4 kBAdobe PDFView/Open

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.