Right Alternative Algebras and Wedderburn Principal Theorem

DOI10.2307/2042445zbMath0405.17002OpenAlexW4233105745MaRDI QIDQ4190783

Armin Thedy

Publication date: 1978

Full work available at URL: https://doi.org/10.2307/2042445

zbMATH Keywords

Wedderburn Principal TheoremRight Alternative AlgebrasNoncommutative Jordan AlgebraQuadratic Jordan Algebras

Mathematics Subject Classification ID

Structure theory for Jordan algebras (17C10) Jordan structures associated with other structures (17C50) Alternative rings (17D05) Noncommutative Jordan algebras (17A15) Nonassociative algebras satisfying other identities (17A30)

Related Items (6)

Right alternative algebras with commutators in a nucleus ⋮ One-sided isotopes of finite-dimensional algebras ⋮ Nonassociative rings ⋮ Irreducible unital right alternative bimodules ⋮ Finite-dimensional locally (-1,1) algebras ⋮ The algebraic and geometric classification of nilpotent right alternative algebras

Cites Work

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• Nil-semisimple right alternative algebras
• Right alternative rings
• Right alternative rings with Peirce decomposition
• Der Wedderburnsche Hauptsatz für alternative Tripelsysteme und Paare
• Right alternative rings with minimal condition
• Zum Wedderburnschen Zerlegungssatz
• Standard algebras
• Homotopes of noncommutative Jordan algebras
• The Wedderburn Principal Theorem for Generalized Alternative Algebras I
• On the Wedderburn Principal Theorem

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