Almost PI algebras are PI
Rings and Algebras
2019-10-15 v1 Group Theory
Abstract
We define the notion of an almost polynomial identity of an associative algebra , and show that its existence implies the existence of an actual polynomial identity of . A similar result is also obtained for Lie algebras and Jordan algebras. We also prove related quantitative results for simple and semisimple algebras.
Cite
@article{arxiv.1910.05764,
title = {Almost PI algebras are PI},
author = {Michael Larsen and Aner Shalev},
journal= {arXiv preprint arXiv:1910.05764},
year = {2019}
}
Comments
13 pages