Non-associative central extensions of null-filiform associative algebras

DOI10.1016/j.jalgebra.2020.06.013zbMath1452.16001arXiv2002.00235OpenAlexW3004036584MaRDI QIDQ2193240

Samuel A. Lopes, Pilar Páez-Guillán, I. B. Kaĭgorodov

Publication date: 25 August 2020

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

Full work available at URL: https://arxiv.org/abs/2002.00235

zbMATH Keywords

nilpotent algebrascentral extensionalgebraic classificationnull-filiform algebra

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Extensions of associative rings by ideals (16S70)

Related Items (17)

Central extensions of 2-filiform Leibniz algebras ⋮ The algebraic classification of nilpotent ℭ𝔇-algebras ⋮ The algebraic classification of nilpotent algebras ⋮ The algebraic and geometric classification of Zinbiel algebras ⋮ One-generated nilpotent assosymmetric algebras ⋮ Central extensions of filiform Zinbiel algebras ⋮ Five-dimensional \(p\)-nilpotent restricted Lie algebras over algebraically closed fields of characteristic \(p > 3\) ⋮ Central extensions of 3-dimensional Zinbiel algebras ⋮ Degenerations of nilpotent algebras ⋮ The algebraic and geometric classification of nilpotent weakly associative and symmetric Leibniz algebras ⋮ The algebraic and geometric classification of nilpotent terminal algebras ⋮ The algebraic and geometric classification of nilpotent left-symmetric algebras ⋮ The algebraic and geometric classification of nilpotent right alternative algebras ⋮ The algebraic classification of nilpotent commutative CD-algebras ⋮ The algebraic classification and degenerations of nilpotent Poisson algebras ⋮ Symmetric Zinbiel superalgebras ⋮ The algebraic and geometric classification of antiassociative algebras

Cites Work

• Unnamed Item
• Classification of five-dimensional nilpotent Jordan algebras
• The classification of \(n\)-dimensional non-Lie Malcev algebras with \((n-4)\)-dimensional annihilator
• Six-dimensional nilpotent Lie algebras
• The classification of 5-dimensional \(p\)-nilpotent restricted Lie algebras over perfect fields. I.
• The algebraic and geometric classification of nilpotent bicommutative algebras
• Classification of 6-dimensional nilpotent Lie algebras over fields of characteristic not 2
• A derivation HNN construction for Lie algebras
• Filiform left-symmetric algebras
• Classification of nilpotent Malcev algebras of small dimensions over arbitrary fields of characteristic not 2
• The algebraic and geometric classification of nilpotent anticommutative algebras
• HNN-extensions of Leibniz algebras
• Minimal representations of filiform Lie algebras and their application for construction of Leibniz algebras
• Central extensions of null-filiform and naturally graded filiform non-Lie Leibniz algebras
• The algebraic and geometric classification of nilpotent Novikov algebras
• Erratum and addendum to ‘‘Central extensions of current algebras”
• LR-algebras
• HNN-extensions of Lie algebras
• Classification of nilpotent associative algebras of small dimension
• The classification of n-dimensional anticommutative algebras with (n − 3)-dimensional annihilator
• The classification of N-dimensional non-associative Jordan algebras with (N − 3)-dimensional annihilator
• The algebraic classification of nilpotent Tortkara algebras
• The algebraic and geometric classification of nilpotent binary Lie algebras

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