Title of article
L-STABLE RINGS
Author/Authors
Horoub, Ayman M. A Department of Mathematics - University of Calgary Calgary, Canada , Nicholson, W. K Department of Mathematics - University of Calgary Calgary, Canada
Pages
32
From page
63
To page
94
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.
Keywords
Stable range , uniquely generated ring , internal cancellation ring , von Neumann regular ring , unit-regular ring , triangular matrix ring , left idealtors , L L-stable ring
Journal title
International Electronic Journal of Algebra
Serial Year
2021
Full Text URL
Record number
2597490
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