On the classification of bilinear maps with radical of a fixed codimension

DOI10.1080/03081087.2020.1849001zbMath1503.15033OpenAlexW3108945797MaRDI QIDQ5051486

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

Publication date: 23 November 2022

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2020.1849001

zbMATH Keywords

classification theoremalgebrasbilinear mapsextension by radical

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) Linear transformations, semilinear transformations (15A04) Quadratic and bilinear forms, inner products (15A63) Canonical forms, reductions, classification (15A21)

Related Items

The algebraic classification of nilpotent ℭ𝔇-algebras ⋮ The algebraic classification of nilpotent algebras ⋮ On the classification of bilinear maps with radical of a fixed codimension ⋮ One-generated nilpotent assosymmetric 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 ⋮ The Variety of Two-dimensional Algebras Over an Algebraically Closed Field ⋮ Symmetric Zinbiel superalgebras ⋮ The algebraic and geometric classification of antiassociative algebras

Cites Work

• Unnamed Item
• 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
• The classification of two-dimensional nonassociative algebras
• 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
• The moduli space of 2-dimensional algebras
• 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
• On the classification of bilinear maps with radical of a fixed codimension
• The Variety of Two-dimensional Algebras Over an Algebraically Closed Field