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PDF Availablehttps://doi.org/10.1090/s0002-9947-2014-06054-6
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Cite Publication Date: Jul 17, 2014 | |
 Citations: 5 |  License type: public-domain |
Affiliation: University of Oviedo, University of Hagen
For elements x;y in a non-degenerate non-unital Jordan algebra over a commutative ring, the relation x y = 0 is shown to imply that the U-operators of x and y commute: UxUy = UyUx. The proof rests on the Ze 0 lmanov-McCrimmon classication [15] of strongly prime quadratic Jordan algebras.
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