Amitsur shrinkage of jordan radicals

DOI10.1080/00927878408823028zbMath0562.17004OpenAlexW2011641801MaRDI QIDQ5187429

Kevin McCrimmon

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1080/00927878408823028

zbMATH Keywords

quadratic Jordan algebrasshrinkagesradicals of Jordan algebraspolynomial extensions of Jordan algebrasstrictly nil radical

Mathematics Subject Classification ID

Structure theory for Jordan algebras (17C10) Radical theory (nonassociative rings and algebras) (17A65)

Related Items (9)

Properness, strictness, and nilness in jordan systems ⋮ Local nilpotency of the McCrimmon radical of a Jordan system ⋮ Cogenerators of radicals ⋮ The structure of strongly prime quadratic Jordan algebras ⋮ The nil radical in jordan pairs over uncountable fields ⋮ Zelmanov's prime theorem for quadratic Jordan algebras ⋮ Invariance of jordan radicals ⋮ The structure of quadratic Jordan systems of Clifford type ⋮ Properly algebraic and spectrum-finite ideals in Jordan systems

Cites Work

• Zelmanov's prime theorem for quadratic Jordan algebras
• Jordan pairs
• The radical of a Jordan algebra and extensions of the base field
• Lattices of radicals
• Radicals Of Polynomial Rings
• Radicals and homotopes of jordan algebras
• Invariance of jordan radicals
• Kurosh Radicals of Rings with Operators
• A Construction in General Radical Theory
• A Note on Radicals and Polynomial Rings.
• A General Theory of Radicals. I. Radicals in Complete Lattices

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