The Leibniz algebras whose subalgebras are ideals

DOI10.1515/MATH-2017-0010zbMath1359.17006OpenAlexW2590448503WikidataQ122878461 ScholiaQ122878461MaRDI QIDQ520131

Leonid A. Kurdachenko, Igor Ya. Subbotin, Nikolaj N. Semko

Publication date: 3 April 2017

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

Full work available at URL: https://doi.org/10.1515/math-2017-0010

zbMATH Keywords

Lie algebrabilinear formLeibniz algebraabelian subalgebrascenter of a Leibniz algebracyclic subalgebraextraspecial subalgebrasleft centernilpotent subalgebrasright center

Mathematics Subject Classification ID

Structure theory for nonassociative algebras (17A60) Solvable, nilpotent (super)algebras (17B30) Leibniz algebras (17A32)

Related Items (18)

On Leibniz algebras whose centralizers are ideals ⋮ Leibniz algebras whose subideals are ideals ⋮ On the automorphism groups of some Leibniz algebras ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On the endomorphisms and derivations of some Leibniz algebras ⋮ Second-maximal subalgebras of Leibniz algebras ⋮ Ideally finite Leibniz algebras ⋮ Quasi-ideals of Leibniz algebras ⋮ Unnamed Item ⋮ Some antipodes of ideals in Leibniz algebras ⋮ Unnamed Item ⋮ Leibniz algebras: a brief review of current results ⋮ On Leibniz algebras whose subalgebras are either ideals or self-idealizing subalgebras ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On the subalgebra lattice of a Leibniz algebra ⋮ On Leibniz algebras with maximal cyclic subalgebras

Cites Work

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• Relationships between factors of canonical central series of Leibniz algebras
• Leibniz homology of dialgebras of matrices
• Universal enveloping algebras of Leibniz algebras and (co)homology
• A noncommutative version of Lie algebras: Leibniz algebras
• On Leibniz homology
• Ten-term exact sequence of Leibniz homology
• Noncommutative Structures in Mathematics and Physics
• From Physics to Philosophy
• On some "minimal" Leibniz algebras

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