An application of non-standard model theory

DOI10.1016/0021-8693(79)90176-5zbMath0417.17007OpenAlexW2111397667MaRDI QIDQ754953

Bruce D. Smith

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0021-8693(79)90176-5

zbMATH Keywords

Kaplansky's theoremfinite-dimensional primitive Pi- algebraJordan Pi-algebranonstandard model theory

Mathematics Subject Classification ID

Structure theory for Jordan algebras (17C10) Simple, semisimple Jordan algebras (17C20) Nonstandard models of arithmetic (03H15) Rings with polynomial identity (16Rxx)

Cites Work

• Polynomial identities of nonassociative rings. III: Applications
• Identities in rings with involutions
• A characterization of the radical of a Jordan algebra
• Lectures on quadratic Jordan algebras
• Alternative algebras satisfying polynomial identities
• Two applications of the method of construction by ultrapowers to analysis
• A standard jordan polynomial
• A GENERAL THEORY OF JORDAN RINGS
• Non-standard analysis
• Unnamed Item