Nilpotent algebras, implicit function theorem, and polynomial quasigroups

DOI10.1016/j.jalgebra.2023.05.024arXiv2208.09527OpenAlexW4379162896WikidataQ123017864 ScholiaQ123017864MaRDI QIDQ6169105

Yu. A. Bakhturin, Alexander Yu. Ol'shanskii

Publication date: 11 July 2023

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.09527

zbMATH Keywords

Baker-Campbell-Hausdorff formulaquasigroupsnilpotent algebrasfiliform Lie algebrasordered algebrascommensuratorsequations in algebras

Mathematics Subject Classification ID

Identities, free Lie (super)algebras (17B01) Lie algebras of Lie groups (22E60) Loops, quasigroups (20N05) Solvable, nilpotent (super)algebras (17B30) Ordered rings, algebras, modules (06F25)

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