Rings of idempotent stable range one. (Q434271)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Rings of idempotent stable range one. |
scientific article; zbMATH DE number 6053984
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rings of idempotent stable range one. |
scientific article; zbMATH DE number 6053984 |
Statements
Rings of idempotent stable range one. (English)
0 references
10 July 2012
0 references
The authors show that in a ring of stable range 1, any (von Neumann) regular element is clean. The main results of this paper also imply that any unit-regular ring has idempotent stable range 1 (and is therefore clean), and that a semilocal ring has idempotent stable range 1 if and only if it is semiperfect.
0 references
idempotent stable range one
0 references
regular elements
0 references
unit regular rings
0 references
clean rings
0 references
semilocal rings
0 references
0.94216096
0 references
0 references
0.89006186
0 references
0 references
0.8855813
0 references
0.88499415
0 references
