Non-associative central extensions of null-filiform associative algebras

Abstract

We give the algebraic classification of alternative, left alternative, Jordan, bicommutative, left commutative, assosymmetric, Novikov and left symmetric central extensions of null-filiform associative algebras.

References in corpus (9)

• Six-dimensional nilpotent Lie algebras
• Classification of five-dimensional nilpotent Jordan algebras
• The algebraic and geometric classification of nilpotent binary Lie algebras
• The algebraic and geometric classification of nilpotent anticommutative algebras
• The algebraic and geometric classification of nilpotent Novikov algebras
• Degenerations of nilpotent algebras
• The algebraic and geometric classification of nilpotent bicommutative algebras
• The classification of $n$-dimensional anticommutative algebras with $(n-3)$-dimensional annihilator
• The algebraic classification of nilpotent Tortkara algebras

Cited by in corpus (19)

• Degenerations of nilpotent algebras
• The algebraic and geometric classification of nilpotent terminal algebras
• Non-associative algebraic structures: classification and structure
• The algebraic and geometric classification of nilpotent weakly associative and symmetric Leibniz algebras
• The algebraic classification of nilpotent algebras
• The algebraic and geometric classification of Zinbiel algebras
• The algebraic classification of nilpotent $\mathfrak{CD}$-algebras
• Central extensions of 3-dimensional Zinbiel algebras
• One-generated nilpotent bicommutative algebras
• Noncommutative Algebra and Representation Theory: Symmetry, Structure & Invariants
• The algebraic and geometric classification of nilpotent left-symmetric algebras
• Symmetric Zinbiel superalgebras
• The algebraic and geometric classification of nilpotent right alternative algebras
• The algebraic and geometric classification of antiassociative algebras
• The algebraic classification of nilpotent commutative $\mathfrak{CD}$-algebras
• One-generated nilpotent assosymmetric algebras
• A classification of nilpotent compatible Lie algebras
• The algebraic classification of nilpotent Novikov algebras
• Conservative algebras of $2$-dimensional algebras, IV