On the structure and zero divisors of the Cayley-Dickson sedenion algebra

DOI10.7151/dmgaa.1088zbMath1102.17001OpenAlexW2322420396MaRDI QIDQ5316222

Raoul E. Cawagas

Publication date: 12 September 2005

Published in: Discussiones Mathematicae - General Algebra and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/88fa65ac678d3ad8a2636b69571391328e96aed0

zbMATH Keywords

quaternionssedenionssubalgebrasoctonionszero divisorsCayley-Dickson processFenyves identitiesquasi-octonions

Mathematics Subject Classification ID

Loops, quasigroups (20N05) Quadratic algebras (but not quadratic Jordan algebras) (17A45)

Related Items (10)

On higher order Fibonacci hyper complex numbers ⋮ On Generalized Tribonacci Sedenions ⋮ On Leonardo sedenions ⋮ Cayley-Dickson split-algebras: doubly alternative zero divisors and relation graphs ⋮ On hyper complex numbers with higher order Pell numbers components ⋮ Relation graphs of the split-sedenion algebra ⋮ k-Pell, k-Pell–Lucas and modified k-Pell sedenions ⋮ Relationship graphs of real Cayley-Dickson algebras ⋮ Relation graphs of the sedenion algebra ⋮ Some unrestricted Fibonacci and Lucas hyper-complex numbers

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