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 >