The Kurosh Problem for Jordan Nil Systems over Arbitrary Rings
of Scalars
We show that quadratic Jordan nil algebras of bounded
degree, and, more generally, quadratic Jordan nil algebras satisfying
a polynomial identity, are locally nilpotent. We also extend these
results to Jordan pairs and triple systems.
J. A. Anquela < anque@orion.ciencias.uniovi.es >
T. Cortés < cortes@orion.ciencias.uniovi.es >
E. Zelmanov < ezelmano@math.ucsd.edu >