Power-associative algebras that are train algebras

DOI10.1016/j.jalgebra.2010.06.012zbMath1230.17027OpenAlexW2103730278MaRDI QIDQ615812

Moussa Ouattara, Fouad Zitan, Joseph Bayara, André Conseibo

Publication date: 7 January 2011

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2010.06.012

zbMATH Keywords

Jordan algebrapower-associative algebraPeirce decompositiontrain algebraBernstein algebraabsolutely primitive idempotentprincipal idempotentstable algebra

Mathematics Subject Classification ID

Power-associative rings (17A05) Genetic algebras (17D92)

Related Items (7)

Irreducible Representations of Power-associative Train Algebras ⋮ Equations of Lie triple algebras that are train algebras ⋮ STRUCTURE OF BARIC ALGEBRAS SATISFYING A POLYNOMIAL IDENTITY OF DEGREE SIX ⋮ The universality of one half in commutative nonassociative algebras with identities ⋮ ON SOME JORDAN BARIC ALGEBRAS ⋮ Representations of power-associative train algebras of rank 4 ⋮ Bernstein algebras that are algebraic and the Kurosh problem

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