The Zelmanov annihilator and nilpotence of the nil radical in quadratic Jordan algebras with chain conditions

DOI10.1016/0021-8693(80)90319-1zbMath0458.17005OpenAlexW2027052201MaRDI QIDQ1151444

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)90319-1

zbMATH Keywords

nilpotence of nil radicalquadratic Jordan algebras with chain conditions

Mathematics Subject Classification ID

Structure theory for Jordan algebras (17C10)

Related Items (8)

Local orders in Jordan algebras ⋮ Z-closed ideals of quadratic jordan algebras ⋮ Martindale quotients of Jordan algebras ⋮ Outer inheritance in jordan algebras ⋮ Local Lesieur-Croisot theory of Jordan algebras ⋮ Extensions of Hopf Algebras and Lie Bialgebras ⋮ Goldie theory for Jordan algebras. ⋮ Nilideals of Jordan triple systems with finiteness conditions

Cites Work

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• Jordan algebras with finiteness conditions
• The Zelmanov nilpotence theorem for quadratic Jordan algebras
• Jordan pairs
• The lower nil radical in Jordan algebras with maximum condition
• Radicals and semi-prime ideals of jordan triple systems

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