HNN-extensions of Leibniz algebras

DOI10.1016/j.jalgebra.2019.05.014zbMath1473.17009OpenAlexW2947167962WikidataQ123335400 ScholiaQ123335400MaRDI QIDQ1999347

Yanyan Li

Publication date: 26 June 2019

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2019.05.014

zbMATH Keywords

HNN-extensionsLeibniz algebrasGröbner-Shirshov basesdialgebras

Mathematics Subject Classification ID

Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Solvable, nilpotent (super)algebras (17B30) Leibniz algebras (17A32) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36)

Related Items (7)

A normal form for HNN-extensions of dialgebras ⋮ Some cohomologically rigid solvable Leibniz algebras ⋮ Non-associative central extensions of null-filiform associative algebras ⋮ HNN-extension of involutive multiplicative Hom-Lie algebras ⋮ Varieties of null-filiform Leibniz algebras under the action of Hopf algebras ⋮ Existentially closed Leibniz algebras and an embedding theorem ⋮ HNN-extension of Lie superalgebras

Cites Work

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• HNN-extensions of Lie algebras
• Un Theoreme de Poincaré–Birkhoff–Witt pour les Algebres de Leibniz
• Leibniz algebras as non-associative algebras
• More on crossed modules in Lie, Leibniz, associative and diassociative algebras
• Embedding Theorems for Groups
• Dialgebras and related operads

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