Degree three, four, and five identities of quadratic algebras

DOI10.1006/jabr.1997.7401zbMath0915.17003OpenAlexW1978171298MaRDI QIDQ1270392

Irvin Roy Hentzel, Luiz Antonio Peresi

Publication date: 5 July 1999

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1997.7401

zbMATH Keywords

quadratic algebraspolynomial identityJordan algebras of degree 2special central identitysymmetric quadratic algebras

Mathematics Subject Classification ID

Identities and free Jordan structures (17C05) Nonassociative algebras satisfying other identities (17A30) Quadratic algebras (but not quadratic Jordan algebras) (17A45)

Related Items

Minimal identities of algebras of rank 3 ⋮ IDENTITIES FOR ALGEBRAS OBTAINED FROM THE CAYLEY-DICKSON PROCESS ⋮ Skew-symmetric identities of octonions ⋮ On the variety determined by symmetric quadratic algebras

Cites Work

• Minimal identities of octonion algebras
• Identities of Cayley-Dickson algebras
• Weak polynomial identities for the matrix algebra of order two
• Quadratic alternative algebras
• Minimal identities for jordan algebras of degree 2
• A Simplification of the Computation of the Natural Representation of the Symmetric Group S n
• Quadratic Division Algebras
• Minimal Identities for Algebras
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