Existentially closed Leibniz algebras and an embedding theorem

DOI10.2478/cm-2021-0015zbMath1485.17012arXiv2003.03509OpenAlexW3199541517WikidataQ123081339 ScholiaQ123081339MaRDI QIDQ2245600

Chia Zargeh

Publication date: 15 November 2021

Published in: Communications in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.03509

zbMATH Keywords

HNN-extensionLeibniz algebrasexistentially closed

Mathematics Subject Classification ID

Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Leibniz algebras (17A32) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36)

Related Items (3)

A normal form for HNN-extensions of dialgebras ⋮ The algebraic and geometric classification of nilpotent binary and mono Leibniz algebras ⋮ Varieties of null-filiform Leibniz algebras under the action of Hopf algebras

Cites Work

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• A noncommutative version of Lie algebras: Leibniz algebras
• Combinatorial group theory.
• HNN-extensions of Leibniz algebras
• HNN-extension of Lie superalgebras
• The Freiheitssatz for generic Poisson algebras
• Existentially closed structures and some embedding theorems
• Actor of a crossed module of Leibniz algebras
• Embedding Theorems for Groups
• Algebraically Closed Groups

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