Residually finite dimensional algebras and polynomial almost identities

DOI10.1142/S0219498822500384zbMath1491.17002arXiv2005.11594MaRDI QIDQ5073322

Aner Shalev, Michael J. Larsen

Publication date: 6 May 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.11594

zbMATH Keywords

Lie algebrasPI algebrasEngel conditionalmost identitiesresidually finite algebrasprobabilistic identities

Mathematics Subject Classification ID

Identities, free Lie (super)algebras (17B01) Rings with polynomial identity (16R99) Nonassociative algebras satisfying other identities (17A30)

Cites Work

• Groups nearly of prime exponent and nearly Engel Lie algebras
• Polynomial identity rings.
• SOLUTION OF THE RESTRICTED BURNSIDE PROBLEM FOR GROUPS OF ODD EXPONENT
• Almost PI algebras are PI
• An Embedding of Pi-Rings
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