Third-power associative absolute valued algebras with a nonzero idempotent commuting with all idempotents

DOI10.5565/PUBLMAT_58214_23zbMath1342.17001OpenAlexW2142274252MaRDI QIDQ400710

José Antonio Cuenca Mira

Publication date: 22 August 2014

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pm/1405949328

zbMATH Keywords

idempotentabsolute valued algebradivision algebrapairwise commuting elementsthird-power associativity

Mathematics Subject Classification ID

Valued algebras (17A80)

Related Items (5)

On the structure of third-power associative absolute valued algebras ⋮ Third-power associative absolute valued algebras with all its idempotents pairwise flexible ⋮ A note on absolute-valued algebras satisfying (xx2)x = x(x2x) ⋮ On a theorem by Hopf ⋮ Four-Dimensional Real Third-Power Associative Division Algebras

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