The algebraic and geometric classification of nilpotent assosymmetric algebras

DOI10.1007/s10468-019-09935-yzbMath1502.17003OpenAlexW3006027197MaRDI QIDQ2048313

Nurlan Ismailov, Farukh Mashurov, I. B. Kaĭgorodov

Publication date: 5 August 2021

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-019-09935-y

zbMATH Keywords

assosymmetric algebraalgebras of low dimension

Mathematics Subject Classification ID

Nonassociative algebras satisfying other identities (17A30)

Related Items

The algebraic classification of nilpotent ℭ𝔇-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 ⋮ Central extensions of 3-dimensional Zinbiel algebras ⋮ The algebraic and geometric classification of nilpotent Lie triple systems up to dimension four ⋮ Degenerations of Filippov algebras ⋮ The algebraic classification of nilpotent Tortkara algebras ⋮ One-generated nilpotent terminal algebras ⋮ Degenerations of nilpotent algebras ⋮ Degenerations of 8-dimensional 2-step nilpotent Lie algebras ⋮ Unified computational approach to nilpotent algebra classification problems ⋮ The geometric classification of nilpotent ℭ𝔇-algebras ⋮ The geometric classification of nilpotent Tortkara algebras ⋮ The algebraic and geometric classification of nilpotent right alternative algebras ⋮ The algebraic classification of nilpotent commutative CD-algebras

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