Identities for generalized Lie and Jordan products on totally associative triple systems

DOI10.1006/jabr.2000.8372zbMath0999.17044OpenAlexW2039680887WikidataQ115395766 ScholiaQ115395766MaRDI QIDQ1584622

Murray R. Bremner, Irvin Roy Hentzel

Publication date: 1 December 2002

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

Full work available at URL: https://semanticscholar.org/paper/2682f757822d2069f78e455f8c33ebb5f04e09ac

zbMATH Keywords

identities, triple systems, ternary Lie product

Mathematics Subject Classification ID

Jordan structures associated with other structures (17C50)

Related Items

On a ternary generalization of Jordan algebras ⋮ On Identities of a Ternary Quaternion Algebra ⋮ An application of lattice basis reduction to polynomial identities for algebraic structures ⋮ Classification of Trilinear Operations ⋮ Alternating quaternary algebra structures on irreducible representations of \(\mathfrak{sl}_2(\mathbb C)\) ⋮ Polynomial identities for the ternary cyclic sum ⋮ Identities for the associator in alternative algebras

Cites Work

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• Identities for the ternary commutator
• Special jordan identities