IDENTITIES RELATING THE JORDAN PRODUCT AND THE ASSOCIATOR IN THE FREE NONASSOCIATIVE ALGEBRA

DOI10.1142/S0219498806001594zbMath1151.17013MaRDI QIDQ3379466

Irvin Roy Hentzel, Murray R. Bremner

Publication date: 6 April 2006

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

zbMATH Keywords

polynomial identitiescomputational algebranonassociative algebraternary operations

Mathematics Subject Classification ID

Identities and free Jordan structures (17C05) Free nonassociative algebras (17A50) Other (n)-ary compositions ((n ge 3)) (17A42)

Cites Work

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• Every Akivis algebra is linear
• Identities for the associator in alternative algebras
• Free Akivis algebras, primitive elements, and hyperalgebras
• Identities for algebras of matrices over the octonions