Large Annihilators in Cayley–Dickson Algebras

DOI10.1080/00927870701724094zbMath1137.17007arXivmath/0511691OpenAlexW2964257931MaRDI QIDQ5456513

Daniel C. Isaksen, Daniel K. Biss, Daniel Dugger

Publication date: 8 April 2008

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

Full work available at URL: https://arxiv.org/abs/math/0511691

zbMATH Keywords

annihilatorCayley-Dickson algebrazero-divisor

Mathematics Subject Classification ID

General nonassociative rings (17A99)

Related Items (13)

Roots and critical points of polynomials over Cayley–Dickson algebras ⋮ On Generalized Tribonacci Sedenions ⋮ Eigentheory of Cayley-Dickson algebras ⋮ Spheres with more than 7 vector fields: All the fault of \(\mathrm{Spin}(9)\) ⋮ On dual hyperbolic numbers with generalized Jacobsthal numbers components ⋮ Cayley-Dickson split-algebras: doubly alternative zero divisors and relation graphs ⋮ On doubly alternative zero divisors in Cayley-Dickson algebras ⋮ Relation graphs of the split-sedenion algebra ⋮ On dual hyperbolic generalized Fibonacci numbers ⋮ On locally complex algebras and low-dimensional Cayley-Dickson algebras ⋮ Relation graphs of the sedenion algebra ⋮ Orthogonality graphs of real Cayley–Dickson algebras. Part I: Doubly alternative zero divisors and their hexagons ⋮ Orthogonality graphs of real Cayley–Dickson algebras. Part II: The subgraph on pairs of basis elements

Cites Work

• On automorphisms and derivations of Cayley-Dickson algebras
• On generalized Cayley-Dickson algebras
• Quadratic forms permitting composition
• On the Algebras Formed by the Cayley-Dickson Process

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