Geodesic
Local nilpotency of the McCrimmon radical of a Jordan system
Informatics and Automation, Algebra, geometry, and number theory, Tome 292 (2016), pp. 7-15

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Using the fact that absolute zero divisors in Jordan pairs become Lie sandwiches of the corresponding Tits–Kantor–Koecher Lie algebras, we prove local nilpotency of the McCrimmon radical of a Jordan system (algebra, triple system, or pair) over an arbitrary ring of scalars. As an application, we show that simple Jordan systems are always nondegenerate. 
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     author = {Jos\'e A. Anquela and Teresa Cort\'es and Efim Zelmanov},
     title = {Local nilpotency of the {McCrimmon} radical of a {Jordan} system},
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José A. Anquela; Teresa Cortés; Efim Zelmanov. Local nilpotency of the McCrimmon radical of a Jordan system. Informatics and Automation, Algebra, geometry, and number theory, Tome 292 (2016), pp. 7-15. http://geodesic.mathdoc.fr/item/TRSPY_2016_292_a0/