The structure of primitive quadratic Jordan algebras

DOI10.1016/S0021-8693(05)80014-6zbMath0829.17027MaRDI QIDQ1891501

Fernando Montaner, Teresa Cortés, José Angel Anquela

Publication date: 22 January 1996

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

zbMATH Keywords

associative algebrainvolutionsocleassociative tight envelopesP. I. primitive Jordan algebraprimitive quadratic Jordan algebras

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Structure theory for Jordan algebras (17C10) Jordan structures associated with other structures (17C50) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (17)

Outer Inheritance of Simplicity in Jordan Systems ⋮ Algebras of quotients of nonsingular Jordan algebras ⋮ Maximal Modular Inner Ideals in Jordan Systems ⋮ Homotope polynomial identities in prime Jordan systems ⋮ Strong primeness of hermitian Jordan systems ⋮ Imbedding Jordan systems in primitive systems ⋮ GROWING HEARTS IN ASSOCIATIVE SYSTEMS ⋮ Local and subquotient inheritance of simplicity in Jordan systems ⋮ Local PI theory of Jordan systems. II ⋮ Primitive algebras with pi primitizers¹ ⋮ Herstein's theorems and simplicity of Hermitian Jordan systems. ⋮ Primitivity in Jordan systems is ubiquitous ⋮ Local PI theory of Jordan systems ⋮ The structure of quadratic Jordan systems of Clifford type ⋮ Goldie theory for Jordan algebras. ⋮ Outer inheritance in jordan systems¹ ⋮ Simplicity of the heart of a nondegenerate Jordan system

Cites Work

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• Prime Jordan algebras. II
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• Prime Jordan algebras
• Maximal modular inner ideals and the Jacobson radical of a Jordan algebra
• Zelmanov's prime theorem for quadratic Jordan algebras
• Zel'manov polynomials in quadratic Jordan triple systems
• Jordan pairs
• On primitive Jordan algebras
• Primitivity in finitely generated special quadratic Jordan algebras
• Rings with involution
• On Herstein's theorems relating Jordan and associative algebras
• FINITELY GENERATED SPECIAL JORDAN ALGEBRAS AND ALTERNATIVE $ PI$-ALGEBRAS
• Semiprimeness of Special Jordan Algebras
• Imbedding Nondegenerate Jordan Algebras in Semiprimitive Algebras
• On maximal modular inner ideals in jordan algebras
• The Freudenthal-Springer-Tits Constructions of Exceptional Jordan Algebras
• Inner Ideals in Quadratic Jordan Algebras
• The Freudenthal-Springer-Tits Constructions Revisited

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