On composition and absolute-valued algebras

DOI10.1017/S0308210500004686zbMath1153.17002MaRDI QIDQ3410717

José Antonio Cuenca Mira

Publication date: 30 November 2006

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

composition algebrasabsolute-valued algebras\(e\)-quadratic algebras

Mathematics Subject Classification ID

Composition algebras (17A75) Valued algebras (17A80)

Related Items (11)

On Finite-Dimensional Absolute-Valued Algebras Satisfying (x^p,x^q,x^r) = 0 ⋮ The double sign of a real division algebra of finite dimension greater than one ⋮ Composition algebras satisfying certain identities ⋮ On the structure of third-power associative absolute valued algebras ⋮ Third-power associative absolute valued algebras with all its idempotents pairwise flexible ⋮ On power-associativity of algebras with no nonzero joint divisor of zero and containing a nonzero central idempotent ⋮ Generalization of the Hopf commutative theorem ⋮ Some classes of pre-Hilbert algebras with norm-one central idempotent ⋮ On a theorem by Hopf ⋮ Classification of the finite dimensional absolute valued algebras having a non-zero central idempotent or a one-sided unity ⋮ On an Ingelstam's Theorem

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