Prime Jordan P.I. algebras with nonzero socle and Jordan division algebras

DOI10.1016/0021-8693(80)90177-5zbMath0421.17011OpenAlexW2000749132MaRDI QIDQ1132949

Michel L. Racine, J. Marshall Osborn

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)90177-5

zbMATH Keywords

polynomial identityJordan division algebraprime Jordan algebra

Mathematics Subject Classification ID

Structure theory for Jordan algebras (17C10) Nonassociative division algebras (17A35) Rings with polynomial identity (16Rxx)

Related Items (1)

Prime jordan-banch algebras with nonzero socle

Cites Work

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• Central polynomials for special Jordan rings without nilpotent elements, and an analog of Kaplansky's theorem
• Central polynomials for Jordan algebras. I
• Nonassociative rings satisfying normal polynomial identities
• MacDonald's theorem with inverses
• Identities in rings with involutions
• A structure theory for Jordan algebras
• Jordan Rings with Nonzero Socle
• STRUCTURE THEORY FOR A CLASS OF JORDAN ALGEBRAS
• Rings with Involution and Polynomial Identities
• The Prime Radical in a Jordan Ring
• Minimal Identities for Algebras
• On Nonassociative Division Algebras
• Two element generation of a separable algebra

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