On the structure of third-power associative absolute valued algebras

DOI10.1007/s40840-016-0351-1zbMath1369.17004OpenAlexW2345669879MaRDI QIDQ2399720

José Antonio Cuenca Mira

Publication date: 24 August 2017

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-016-0351-1

zbMATH Keywords

idempotentabsolute valued algebradivision algebrathird-power associativitypairwise flexible idempotents

Mathematics Subject Classification ID

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

Related Items (1)

Third-power associative absolute valued algebras with all its idempotents pairwise flexible

Cites Work

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• Third-power associative absolute valued algebras with a nonzero idempotent commuting with all idempotents
• Classification of the finite dimensional absolute valued algebras having a non-zero central idempotent or a one-sided unity
• Sur les dimensions des algèbres absolument valuees
• Sur les algèbres absolument valuées qui vérifient l'identité \((x,x,x)=0\)
• Absolute valued algebras containing a central idempotent
• On one-sided division infinite-dimensional normed real algebras
• One-sided division absolute valued algebras
• Absolute Valued Algebras Satisfying (x²,x²,x²) = 0
• On composition and absolute-valued algebras
• Non-Associative Normed Algebras
• Absolute-Valued Algebras
• Absolute-valued algebraic algebras

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