Orthogonality graphs of real Cayley–Dickson algebras. Part I: Doubly alternative zero divisors and their hexagons

DOI10.1142/S0218196721500326OpenAlexW3162427515MaRDI QIDQ5002192

Svetlana Zhilina

Publication date: 27 July 2021

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218196721500326

zbMATH Keywords

zero divisor graphsCayley-Dickson algebrasorthogonality graphsdoubly alternative elementsstrong alternativity

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Alternative rings (17D05) Other nonassociative rings and algebras (17D99) Flexible algebras (17A20)

Related Items (2)

On doubly alternative zero divisors in Cayley-Dickson algebras ⋮ 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
• Large annihilators in Cayley-Dickson algebras. II
• The zero divisors of the Cayley-Dickson algebras over the real numbers
• A taste of Jordan algebras
• Subalgebras of the split octonions
• Relation graphs of the split-sedenion algebra
• Relationship graphs of real Cayley-Dickson algebras
• Conjugacy Classes of Subalgebras of the Real Sedenions
• The octonions
• Large Annihilators in Cayley–Dickson Algebras
• On the Algebras Formed by the Cayley-Dickson Process
• Unnamed Item

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