Zinbiel algebras are nilpotent

DOI10.1142/S0219498823501669arXiv2202.12026OpenAlexW4224321903MaRDI QIDQ6168666

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Publication date: 11 July 2023

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

Full work available at URL: https://arxiv.org/abs/2202.12026

zbMATH Keywords

nilpotentsolvableFrattini idealZinbiel algebra

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Solvable, nilpotent (super)algebras (17B30) Simple, semisimple, reductive (super)algebras (17B20) Leibniz algebras (17A32) Modular Lie (super)algebras (17B50)

Related Items (2)

Zinbiel superalgebras ⋮ Symmetric Zinbiel superalgebras

Cites Work

• Universal enveloping algebras of Leibniz algebras and (co)homology
• A noncommutative version of Lie algebras: Leibniz algebras
• Koszul duality for operads
• Nilpotency of Zinbiel algebras
• \(p\)-filiform Zinbiel algebras
• On the derivations of filiform Leibniz algebras
• CUP-Product for Leibnitz Cohomology and Dual Leibniz Algebras.
• Leibniz Algebras
• Dialgebras and related operads

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