On the structure of reduced \(\mathcal J\)-ternary algebras of degree two

DOI10.1016/0021-8693(83)90179-5zbMath0522.17002OpenAlexW2058774886MaRDI QIDQ1055868

Wolfgang Hein

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0021-8693(83)90179-5

zbMATH Keywords

regular elementsJordan algebratriple systemPeirce decompositionsimple reduced J-ternary algebra of degree two

Mathematics Subject Classification ID

Structure theory for Jordan algebras (17C10) Ternary compositions (17A40)

Related Items

PRME AND k-PRIME IDEALS IN Ω-GROUPS, Tensor Products of Composition Algebras, Albert Forms and Some Exceptional Simple Lie Algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the structure of reduced \(\mathcal J\)-ternary algebras of degree \(>2\)
• A class of nonassociative algebras with involution containing the class of Jordan algebras
• A Construction of Lie Algebras by Triple Systems
• A Construction of Lie Algebras From J-Ternary Algebras
• Imbedding of Jordan Algebras into Lie Algebras. I