Associative identities of octonions

DOI10.1007/s10469-011-9118-9zbMath1248.17002OpenAlexW2123672593MaRDI QIDQ541989

Ivan Pavlovic Shestakov

Publication date: 8 June 2011

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10469-011-9118-9

zbMATH Keywords

octonion algebraCayley-Dickson algebrabasis of identities

Mathematics Subject Classification ID

Alternative rings (17D05) Nonassociative algebras satisfying other identities (17A30)

Related Items

Some graded identities of the Cayley–Dickson algebra ⋮ A retrospect of the research in nonassociative algebras in IME-USP

Cites Work

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• Skew-symmetric identities of octonions
• Identities of a finite Cayley-Dickson algebra
• Expressibility in the elementary theory of recursively enumerable sets with realizability logic
• Minimal identities of octonion algebras
• Radicals and nilpotent elements of free alternative algebras
• Identities of Cayley-Dickson algebras
• \(\Sigma\)-predicates of finite types over an admissible set
• Finite basing of the identities of a matrix algebra of second order over a field of characteristic zero
• The octonions

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