Product theorems for alternative algebras and some of their applications

DOI10.1134/S0037446623020118OpenAlexW4360831406WikidataQ122418893 ScholiaQ122418893MaRDI QIDQ2691813

Sergey V. Pchelintsev

Publication date: 30 March 2023

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446623020118

zbMATH Keywords

alternative algebraproduct theoremsLie nilpotent algebra

Mathematics Subject Classification ID

General nonassociative rings (17Axx) Jordan algebras (algebras, triples and pairs) (17Cxx) Other nonassociative rings and algebras (17Dxx)

Related Items (1)

Structure of the variety of alternative algebras with the Lie-nilpotency identity of degree 5

Cites Work

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• Lie ideals in group rings
• Metaideals of alternative algebras
• Baer chains of alternative PI-algebras
• On the Lie ideals of a ring
• Free alternative algebras of rank 3
• Relatively free associative Lie nilpotent algebras of rank 3
• Lower central series of free algebras in symmetric tensor categories.
• On centres of relatively free associative algebras with a Lie nilpotency identity
• Malcev Algebras
• On the Lower Central Factors of a Free Associative Ring
• Some finitely generated associative algebras with a Lie nilpotency identity
• THE FREE ALTERNATIVE SUPERALGEBRA ON ONE ODD GENERATOR
• Some products of commutators in an associative ring
• On rings whose associated Lie rings are nilpotent

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