The Zelmanov nilpotence theorem for quadratic Jordan algebras

DOI10.1016/0021-8693(80)90026-5zbMath0439.17008OpenAlexW1967219676MaRDI QIDQ1142276

Kevin McCrimmon

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0021-8693(80)90026-5

zbMATH Keywords

nilpotency of Jordan radicalquadratic Jordan rings

Mathematics Subject Classification ID

Structure theory for Jordan algebras (17C10)

Related Items (6)

Jordan systems of Martindale-like quotients ⋮ Absolute zero-divisors and algebraic Jordan algebras ⋮ Maximal modular inner ideals and the Jacobson radical of a Jordan algebra ⋮ The Zelmanov annihilator and nilpotence of the nil radical in quadratic Jordan algebras with chain conditions ⋮ Involutive gradings of jordan structures ⋮ Nilideals of Jordan triple systems with finiteness conditions

Cites Work

• Jordan pairs
• Alternative algebras satisfying polynomial identities
• Absolute Zero Divisors and Local Nilpotence in Alternative Algebras
• STRUCTURE THEORY FOR A CLASS OF JORDAN ALGEBRAS
• A GENERAL THEORY OF JORDAN RINGS
• THE RADICAL OF A JORDAN ALGEBRA
• Algèbre
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