Jordan Triple Forms of Jordan Algebras

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Mar 1983Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 87, page 386 (issn: 0002-9939,

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Authors: Neher, Erhard;

doi: 10.2307/2043616 , 10.1090/s0002-9939-1983-0684623-0

Jordan Triple Forms of Jordan Algebras

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Abstract

We show that a central nondegenerate Jordan triple system over a field of characteristic ≠ 2 \ne 2 has a nonzero center iff it is scalar isomorphic to a Jordan algebra. As an application we classify Jordan triple forms of Jordan algebras.

Keywords

Jordan triple system, Ternary compositions, center, Jordan triple k-form, scalar isomorphism, Structure theory for Jordan algebras

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