Trivial minimal ideals of Jordan systems

DOI10.1016/j.jalgebra.2010.10.016zbMath1278.17027OpenAlexW1989904284MaRDI QIDQ536171

Kevin McCrimmon, Teresa Cortés, José Angel Anquela

Publication date: 16 May 2011

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

Full work available at URL: http://hdl.handle.net/10651/6213

zbMATH Keywords

Jordan systemminimal idealtrivial ideal

Mathematics Subject Classification ID

Structure theory for Jordan algebras (17C10) Simple, semisimple Jordan algebras (17C20) Radicals in Jordan algebras (17C17)

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Cites Work

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• An analogue of Andrunakievich's lemma for Jordan algebras
• The structure of strongly prime quadratic Jordan algebras
• Radicals in Jordan algebras
• Quadratic Jordan systems of Hermitian type
• Jordan pairs
• A taste of Jordan algebras
• Simplicity of the heart of a nondegenerate Jordan system
• Minimal ideals of Jordan systems
• Determination of the differentiably simple rings with a minimal ideal
• Minimal Ideals in Quadratic Jordan Algebras
• Solvabiie jordan algebras