Skew-symmetric identities of octonions

DOI10.1016/J.JPAA.2008.07.012zbMath1241.17033OpenAlexW2091721763MaRDI QIDQ1004459

Natalia Zhukavets, Ivan Pavlovic Shestakov

Publication date: 10 March 2009

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

Full work available at URL: https://doi.org/10.1016/j.jpaa.2008.07.012

zbMATH Keywords

octonionsfree superalgebra.quadratic alternative algebraskew-symmetric identities

Mathematics Subject Classification ID

Superalgebras (17A70) Alternative rings (17D05) Composition algebras (17A75) Quadratic algebras (but not quadratic Jordan algebras) (17A45)

Related Items (6)

Identities of the algebra 𝕆⊗𝕆 ⋮ Associative identities of octonions ⋮ The Composition Structure of Alternative and Malcev Algebras ⋮ Some graded identities of the Cayley–Dickson algebra ⋮ The Composition Structure of Alternative and Malcev Algebras ⋮ A retrospect of the research in nonassociative algebras in IME-USP

Cites Work

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• Speciality of Malcev superalgebras on one odd generator
• The Specht property of the ideals of identities of certain simple nonassociative algebras
• Identities of a finite Cayley-Dickson algebra
• Minimal identities of octonion algebras
• Degree three, four, and five identities of quadratic algebras
• Identities of Cayley-Dickson algebras
• Quadratic alternative algebras
• TRACE IDENTITIES OF FULL MATRIX ALGEBRAS OVER A FIELD OF CHARACTERISTIC ZERO
• FREE MALCEV SUPERALGEBRA ON ONE ODD GENERATOR
• THE FREE ALTERNATIVE SUPERALGEBRA ON ONE ODD GENERATOR
• THE MALCEV POISSON SUPERALGEBRA OF THE FREE MALCEV SUPERALGEBRA ON ONE ODD GENERATOR
• Quadratic Division Algebras

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