Orthogonality graphs of real Cayley–Dickson algebras. Part II: The subgraph on pairs of basis elements

DOI10.1142/S0218196721500338OpenAlexW3160349154MaRDI QIDQ5002193

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/s0218196721500338

zbMATH Keywords

graph isomorphismalgebra isomorphismCayley-Dickson algebrasorthogonality graphsstandard basis elements

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 (1)

On doubly alternative zero divisors in Cayley-Dickson algebras

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 sedenion algebra
• Relation graphs of the split-sedenion algebra
• Relationship graphs of real Cayley-Dickson algebras
• Conjugacy Classes of Subalgebras of the Real Sedenions
• The octonions
• Orthogonality graphs of real Cayley–Dickson algebras. Part I: Doubly alternative zero divisors and their hexagons
• Large Annihilators in Cayley–Dickson Algebras
• On the Algebras Formed by the Cayley-Dickson Process
• Unnamed Item

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