The classification of n-dimensional anticommutative algebras with (n − 3)-dimensional annihilator

DOI10.1080/00927872.2018.1468909zbMath1460.17008arXiv1803.07698OpenAlexW3105502213MaRDI QIDQ4634071

Amir Fernández Ouaridi, Antonio Jesús Calderón Martín, I. B. Kaĭgorodov

Publication date: 7 May 2019

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

Full work available at URL: https://arxiv.org/abs/1803.07698

zbMATH Keywords

annihilatoranti commutative algebras

Mathematics Subject Classification ID

Structure theory for nonassociative algebras (17A60)

Related Items

The algebraic classification of nilpotent ℭ𝔇-algebras ⋮ The algebraic and geometric classification of nilpotent bicommutative algebras ⋮ On the classification of bilinear maps with radical of a fixed codimension ⋮ One-generated nilpotent Novikov algebras ⋮ One-generated nilpotent assosymmetric algebras ⋮ Central extensions of filiform Zinbiel algebras ⋮ Central extensions of 3-dimensional Zinbiel algebras ⋮ The algebraic and geometric classification of nilpotent Novikov algebras ⋮ The algebraic and geometric classification of nilpotent Lie triple systems up to dimension four ⋮ Non-associative central extensions of null-filiform associative algebras ⋮ The algebraic classification of nilpotent Tortkara algebras ⋮ Central extensions of 4-dimensional binary Lie algebras ⋮ The algebraic classification of nilpotent associative commutative algebras ⋮ Degenerations of nilpotent algebras ⋮ The algebraic and geometric classification of nilpotent anticommutative algebras ⋮ The algebraic and geometric classification of nilpotent assosymmetric algebras ⋮ The classification of 2-dimensional rigid algebras ⋮ The algebraic and geometric classification of nilpotent binary Lie algebras ⋮ Degenerations of Leibniz and Anticommutative Algebras ⋮ The classification of nilpotent Lie-Yamaguti algebras ⋮ The Variety of Nilpotent Tortkara Algebras ⋮ The algebraic classification of nilpotent commutative CD-algebras ⋮ Central extensions of filiform associative algebras ⋮ The algebraic classification and degenerations of nilpotent Poisson algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Classification of five-dimensional nilpotent Jordan algebras
• The classification of \(n\)-dimensional non-Lie Malcev algebras with \((n-4)\)-dimensional annihilator
• Nilpotent evolution algebras over arbitrary fields
• Classification of 6-dimensional nilpotent Lie algebras over fields of characteristic not 2
• Classification of nilpotent Malcev algebras of small dimensions over arbitrary fields of characteristic not 2
• Central extensions of null-filiform and naturally graded filiform non-Lie Leibniz algebras
• Erratum and addendum to ‘‘Central extensions of current algebras”
• ON ONE-DIMENSIONAL LEIBNIZ CENTRAL EXTENSIONS OF A FILIFORM LIE ALGEBRA
• Classification of three-dimensional zeropotent algebras over an algebraically closed field
• The classification of N-dimensional non-associative Jordan algebras with (N − 3)-dimensional annihilator