A note on absolute-valued algebras satisfying (xx2)x = x(x2x)

DOI10.1142/S0219498822501729OpenAlexW3170825265MaRDI QIDQ5104136

Abdellatif Rochdi, Kandé Diaby

Publication date: 9 September 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498822501729

zbMATH Keywords

(pre-Hilbert) absolute valued algebrascentral element (idempotent)

Mathematics Subject Classification ID

Structure theory for nonassociative algebras (17A60) Composition algebras (17A75) Other nonassociative rings and algebras (17D99) Valued algebras (17A80)

Cites Work

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• Third-power associative absolute valued algebras with a nonzero idempotent commuting with all idempotents
• On finite dimensional absolute valued algebras satisfying \((x,x,x)=0\)
• Sur les algèbres absolument valuées qui vérifient l'identité \((x,x,x)=0\)
• Absolute valued algebras containing a central idempotent
• Third-power associative absolute valued algebras with all its idempotents pairwise flexible
• On absolute-valued algebras satisfying \((x^2,y,x^2)=0\)
• Absolute valued real algebras
• On Finite-Dimensional Absolute-Valued Algebras Satisfying (x^p,x^q,x^r) = 0
• Absolute Valued Algebras with Involution
• Non-Associative Normed Algebras
• Absolute-Valued Algebras
• Absolute-valued algebras with an involution

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