Almost Pi Algebras Are PI

Michael Larsen; Aner Shalev

doi:10.1090/proc/15818

Almost Pi Algebras Are PI

Michael Larsen, Aner Shalev

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English
Pages (from-to)	1369-1379
Number of pages	11
Journal	Proceedings of the American Mathematical Society
Volume	150
Issue number	4
DOIs	https://doi.org/10.1090/proc/15818
State	Published - 2022

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Almost Pi Algebras Are PI

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