Almost Pi Algebras Are PI

Michael Larsen, Aner Shalev

Research output: Contribution to journalArticlepeer-review

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 languageAmerican English
Pages (from-to)1369-1379
Number of pages11
JournalProceedings of the American Mathematical Society
Volume150
Issue number4
DOIs
StatePublished - 2022

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