Structure of finitely generated commutative alternative algebras and special Moufang loops.

DOI10.1007/S11006-006-0152-1zbMath1135.20046OpenAlexW1974223334MaRDI QIDQ881116

Sergey V. Pchelintsev

Publication date: 21 May 2007

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

Full work available at URL: https://doi.org/10.1007/s11006-006-0152-1

zbMATH Keywords

commutator idealscommutative Moufang loopscentral nilpotencyfree alternative algebrasspecial Moufang loops

Mathematics Subject Classification ID

Loops, quasigroups (20N05) Alternative rings (17D05)

Related Items (3)

Proper identities of finitely generated commutative alternative algebras ⋮ Commutative Moufang loops and alternative algebras. ⋮ Some finitely generated associative algebras with a Lie nilpotency identity

Cites Work

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• On the nilpotence class of commutative Moufang loops
• Moufang loops and alternative algebras
• Prime alternative algebras that are nearly commutative
• On identities of free finitely generated alternative algebras over a field of characteristic 3

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