Local Nilpotency of the McCrimmon Radical of a Jordan System
Using the fact that absolute zero divisors in Jordan pairs
become Lie sandwiches of the corresponding TKK 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 get that simple Jordan systems are always nondegenerate.
J. A. Anquela < anque@orion.ciencias.uniovi.es >
T. Cortés < cortes@orion.ciencias.uniovi.es >
E. Zelmanov < ezelmano@math.ucsd.edu >