Associative and Jordan Lie nilpotent algebras

DOI10.1007/S10469-024-09755-0MaRDI QIDQ6633366

Sergey V. Pchelintsev

Publication date: 5 November 2024

Published in: Algebra and Logic (Search for Journal in Brave)

zbMATH Keywords

associative algebraJordan algebraLie nilpotent algebraproduct theorem for Jordan algebras

Mathematics Subject Classification ID

Nonassociative rings and algebras (17-XX)

Cites Work

• Lie ideals in group rings
• On the Lie ideals of a ring
• Relatively free associative Lie nilpotent algebras of rank 3
• Lower central series of free algebras in symmetric tensor categories.
• Product theorems for alternative algebras and some of their applications
• On centres of relatively free associative algebras with a Lie nilpotency identity
• Codimension Growth of Strong Lie Nilpotent Associative Algebras
• On the Lower Central Factors of a Free Associative Ring
• Some products of commutators in an associative ring
• On rings whose associated Lie rings are nilpotent
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