Local Nilpotency of the McCrimmon Radical of a Jordan System
This paper contains a full proof of the local nilpotency of the
McCrimmon radical of a Jordan system over an arbitrary ring of scalars,
based on the notes of seminars given by Efim Zelmanov in 1989 at the
University of Virginia. The result is based on Kostrikin-Zelmanov's Theorem
on the local nilpotency of Lie algebras generated by sandwiches, whose
proof, following Zelmanov's "Nil Rings and Periodic Groups" (Lecture Notes
in Mathematics, Korean mathematical Society, 1992), is also included.