The structure of quadratic Jordan systems of Clifford type

DOI10.1006/JABR.2000.8452zbMath0982.17015OpenAlexW1993995422MaRDI QIDQ1841817

Alain D'Amour, Kevin McCrimmon

Publication date: 3 April 2002

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

Full work available at URL: https://doi.org/10.1006/jabr.2000.8452

zbMATH Keywords

Jordan pairsocleJordan tripleprimitive pairsJordan pair of Clifford typeprime Jordan pairsimple Jordan pair

Mathematics Subject Classification ID

Structure theory for Jordan algebras (17C10)

Related Items (19)

Outer Inheritance of Simplicity in Jordan Systems ⋮ Additive Derivations on Jordan Banach Pairs ⋮ Maximal Modular Inner Ideals in Jordan Systems ⋮ On the Zelmanovian Classification of PrimeJB*- andJBW*-Triples ⋮ Jordan algebras at Jordan elements of semiprime rings with involution ⋮ Homotope polynomial identities in prime Jordan systems ⋮ The Jordan algebras of a Lie algebra ⋮ Strong primeness of hermitian Jordan systems ⋮ On the Zelmanovian classification of prime \(\text{JB}^*\)-triples ⋮ On polynomial identities in associative and Jordan pairs ⋮ Local and subquotient inheritance of simplicity in Jordan systems ⋮ Local PI theory of Jordan systems. II ⋮ SIMPLE, PRIMITIVE, AND STRONGLY PRIME JORDAN 3-GRADED LIE ALGEBRAS ⋮ Herstein's theorems and simplicity of Hermitian Jordan systems. ⋮ Primitivity in Jordan systems is ubiquitous ⋮ Jordan supersystems related to Lie superalgebras ⋮ Polynomial identities and nonidentities of split Jordan pairs ⋮ Local PI theory of Jordan systems ⋮ Simplicity of the heart of a nondegenerate Jordan system

Cites Work

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• Little jordan clofford algebras
• The nil radical in jordan pairs over uncountable fields
• Amitsur shrinkage of jordan radicals
• Finite-Dimensional Division Algebras over Fields

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