A class of non-associative Nilpotent Jordan algebras

DOI10.1142/S021949882150002XzbMath1460.17046OpenAlexW2983860922WikidataQ114614499 ScholiaQ114614499MaRDI QIDQ5133893

Hani Abdelwahab, Antonio Jesús Calderón Martín

Publication date: 11 November 2020

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021949882150002x

zbMATH Keywords

automorphism groupJordan algebraannihilator extensionclassification of algebrasnonassociative algebra

Mathematics Subject Classification ID

Structure theory for Jordan algebras (17C10) Finite-dimensional structures of Jordan algebras (17C55) Computational methods for problems pertaining to nonassociative rings and algebras (17-08)

Related Items (1)

Unified products for Jordan algebras. Applications

Cites Work

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• 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
• 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 classification of N-dimensional non-associative Jordan algebras with (N − 3)-dimensional annihilator

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