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http://dspace.hebron.edu:8080/xmlui/handle/123456789/1070| Title: | L-STABLE RINGS |
| 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. |
| URI: | http://dspace.hebron.edu:80/xmlui/handle/123456789/1070 |
| Appears in Collections: | Journals |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| L-stable.pdf | 434.4 kB | Adobe PDF | View/Open |
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