Almost Pi Algebras Are PI

Michael Larsen; Aner Shalev

doi:https://doi.org/10.1090/proc/15818

Almost Pi Algebras Are PI

Michael Larsen, Aner Shalev

Einstein Institute of Mathematics

The Hebrew University of Jerusalem

Research output: Contribution to journal › Article › peer-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 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

All Science Journal Classification (ASJC) codes

Applied Mathematics
General Mathematics

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title = "Almost Pi Algebras Are PI",

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.",

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DO - https://doi.org/10.1090/proc/15818

M3 - مقالة

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SP - 1369

EP - 1379

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

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Almost Pi Algebras Are PI

Abstract

All Science Journal Classification (ASJC) codes

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