The algebraic and geometric classification of nilpotent anticommutative algebras

DOI10.1016/j.jpaa.2020.106337zbMath1460.17047arXiv2001.00253OpenAlexW2930013454MaRDI QIDQ1985756

Mykola Khrypchenko, Samuel A. Lopes, I. B. Kaĭgorodov

Publication date: 7 April 2020

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.00253

zbMATH Keywords

nilpotent algebraalgebraic classificationgeometric classificationanticommutative algebra

Mathematics Subject Classification ID

Mal'tsev rings and algebras (17D10) (non-Lie) Hom algebras and topics (17D30)

Related Items (29)

The algebraic classification of nilpotent ℭ𝔇-algebras ⋮ The algebraic and geometric classification of nilpotent bicommutative algebras ⋮ The algebraic classification of nilpotent algebras ⋮ One-generated nilpotent Novikov algebras ⋮ One-generated nilpotent assosymmetric algebras ⋮ The geometric classification of nilpotent commutative \(\mathfrak{CD}\)-algebras ⋮ Central extensions of filiform Zinbiel algebras ⋮ The geometric classification of 2-step nilpotent algebras and applications ⋮ Five-dimensional \(p\)-nilpotent restricted Lie algebras over algebraically closed fields of characteristic \(p > 3\) ⋮ Central extensions of 3-dimensional Zinbiel algebras ⋮ Non-associative central extensions of null-filiform associative algebras ⋮ The geometric classification of nilpotent algebras ⋮ The algebraic classification of nilpotent Tortkara algebras ⋮ One-generated nilpotent terminal algebras ⋮ The variety of dual mock-Lie algebras ⋮ Degenerations of nilpotent algebras ⋮ Degenerations of 8-dimensional 2-step nilpotent Lie algebras ⋮ The algebraic and geometric classification of nilpotent weakly associative and symmetric Leibniz algebras ⋮ The geometric classification of nilpotent ℭ𝔇-algebras ⋮ The algebraic and geometric classification of nilpotent noncommutative Jordan 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 assosymmetric algebras ⋮ The algebraic classification of nilpotent commutative algebras ⋮ The algebraic and geometric classification of nilpotent right alternative algebras ⋮ Classification of a family of 4-dimensional anti-commutative algebras and their automorphisms ⋮ The algebraic classification of nilpotent commutative CD-algebras ⋮ The algebraic classification and degenerations of nilpotent Poisson algebras ⋮ The algebraic and geometric classification of antiassociative algebras

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