Quadratic Jordan algebras whose elements are all regular or nilpotent
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- by Kevin McCrimmon PDF
- Proc. Amer. Math. Soc. 45 (1974), 19-27 Request permission
Abstract:
We prove that if $J$ is a quadratic Jordan algebra whose elements are all either regular or nilpotent, and which satisfies a common multiple property (that whenever $z$ is nilpotent and $\upsilon$ regular then $\operatorname {Im} {U_\upsilon } \cap \operatorname {Ker} {U_z} \ne 0$), then modulo the radical $R$ the algebra $J/R$ is either a domain or a form of a Jordan algebra determined by a traceless quadratic form in characteristic 2.References
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Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 45 (1974), 19-27
- MSC: Primary 17A15
- DOI: https://doi.org/10.1090/S0002-9939-1974-0374202-1
- MathSciNet review: 0374202