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Idempotent chains and bounded generation of SL2.
- Source :
-
Journal of Pure & Applied Algebra . Dec2023, Vol. 227 Issue 12, pN.PAG-N.PAG. 1p. - Publication Year :
- 2023
-
Abstract
- We investigate connections between association chains of idempotents and bounded generation of SL 2 by elementary matrices. This enables us to identify many classes of matrix rings that have universal bounds on the length of association chains. In particular, many matrix rings have the property that every regular element is special clean. We also improve the usual criterion for checking perspectivity via association chains. [ABSTRACT FROM AUTHOR]
- Subjects :
- *MATRIX rings
*IDEMPOTENTS
Subjects
Details
- Language :
- English
- ISSN :
- 00224049
- Volume :
- 227
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- Journal of Pure & Applied Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 164285296
- Full Text :
- https://doi.org/10.1016/j.jpaa.2023.107427