On finite dimensional absolute valued algebras satisfying \((x,x,x)=0\)

DOI10.1007/BF01200223zbMath0623.17002MaRDI QIDQ1091458

Mohamed Lamei El-Mallah

Publication date: 1987

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

idempotentsCayley algebraflexible algebra4-dimensional absolute valued real algebra8-dimensional absolute valued algebrapara-octonion algebrapara-quaternion algebrapseudo- octonion algebra

Mathematics Subject Classification ID

Structure theory for nonassociative algebras (17A60) Other nonassociative rings and algebras (17D99) Flexible algebras (17A20)

Related Items (11)

On Finite-Dimensional Absolute-Valued Algebras Satisfying (x^p,x^q,x^r) = 0 ⋮ Third power associative composition algebras ⋮ A note on absolute-valued algebras satisfying (xx2)x = x(x2x) ⋮ On power-associativity of algebras with no nonzero joint divisor of zero and containing a nonzero central idempotent ⋮ Generalization of the Hopf commutative theorem ⋮ Classification of the finite dimensional absolute valued algebras having a non-zero central idempotent or a one-sided unity ⋮ Four-Dimensional Real Third-Power Associative Division Algebras ⋮ On an Ingelstam's Theorem ⋮ Absolute Valued Algebras Having a Local Unit Element ⋮ On absolute-valued algebras satisfying \((x^2,y,x^2)=0\) ⋮ Absolute valued algebras containing a central idempotent

Cites Work

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• Quelques résultats sur les algèbres absolument valuees
• Sur les algèbres absolument valuées qui vérifient l'identité \((x,x,x)=0\)
• Algebras with nondegenerate associative symmetric bilinear forms permitting composition
• A Theory of Trace-Admissible Algebras
• Absolute-valued algebraic algebras
• Absolute Valued Algebras

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