Prime Jordan algebras

DOI10.1007/BF01669501zbMath0433.17009OpenAlexW2071291105MaRDI QIDQ1139119

Efim I. Zelmanov

Publication date: 1979

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/187047

zbMATH Keywords

zero divisorsspecial Jordan algebraJordan ringAlbert ringfree Jordan algebraprime nil-semisimple Jordan algebra

Mathematics Subject Classification ID

Simple, semisimple Jordan algebras (17C20)

Related Items (14)

The structure of primitive quadratic Jordan algebras ⋮ Commuting \(U\)-operators and nondegenerate imbeddings of Jordan systems ⋮ Exceptional quantum geometry and particle physics ⋮ The structure of strongly prime quadratic Jordan algebras ⋮ Examples of prime Jordan superalgebras of vector type and superalgebras of Cheng-Kac type ⋮ Differentiably simple Jordan algebras ⋮ Multiplicative semiprimeness of strongly semiprime non-commutative Jordan algebras ⋮ Maximal modular inner ideals and the Jacobson radical of a Jordan algebra ⋮ On the speciality of Jordan algebras and subquotients of Lie algebras ⋮ Imbedding Jordan systems in primitive systems ⋮ Zelmanov's prime theorem for quadratic Jordan algebras ⋮ Unnamed Item ⋮ Multiplicative primeness of strongly prime non-commutative Jordan algebras ⋮ Jordan algebras of degree 3 and the Tits process

Cites Work

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• Central polynomials for Jordan algebras. I
• A characterization of the radical of a Jordan algebra
• Algebras Over Infinite Fields
• THE RADICAL OF A JORDAN ALGEBRA
• Quadratic Jordan Algebras Whose Elements are all Invertible or Nilpotent

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