Commuting maps and identities with inverses on alternative division rings

DOI10.1016/j.jalgebra.2023.09.022OpenAlexW4387504281MaRDI QIDQ6066493

Bruno Leonardo Macedo Ferreira, Hayden Julius, Douglas Smigly

Publication date: 16 November 2023

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2023.09.022

zbMATH Keywords

identitiesadditive mappingsoctonion algebrasalternative division rings

Mathematics Subject Classification ID

Alternative rings (17D05) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36) Nonassociative division algebras (17A35)

Cites Work

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• Kleinfeld's proof of the Bruck-Kleinfeld-Skornjakov theorem
• When is a multiplicative derivation additive?
• Commuting maps: a survey.
• On generalized biderivations and related maps
• Similarity and consimilarity of elements in the real Cayley-Dickson algebras.
• Commuting maps on alternative rings
• A note on additive mappings in noncommutative fields
• Commuting Maps of Triangular Algebras
• Derivations in Prime Rings
• On a certain functional identity involving inverses
• A NOTE ON DERIVATIONS, ADDITIVE SUBGROUPS, AND LIE IDEALS OF PRIME RINGS

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