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Almost PI algebras are PI.
- Source :
- Proceedings of the American Mathematical Society; 2022, Vol. 150 Issue 4, p1369-1379, 11p
- Publication Year :
- 2022
-
Abstract
- We define the notion of an almost polynomial identity of an associative algebra R, and show that its existence implies the existence of an actual polynomial identity of R. A similar result is also obtained for Lie algebras and Jordan algebras. We also prove related quantitative results for simple and semisimple algebras. [ABSTRACT FROM AUTHOR]
- Subjects :
- JORDAN algebras
ALGEBRA
ASSOCIATIVE algebras
LIE algebras
POLYNOMIALS
Subjects
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 150
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 155057318
- Full Text :
- https://doi.org/10.1090/proc/15818