Polynomial Identities and Non-identities of split Jordan Pairs.

We show that split Jordan pairs over rings without 2-torsion can be distinguished by polynomial identities. In particular, this holds for simple finite-dimensional Jordan pairs over algebraically closed fields of characteristic not 2. We also generalize results of Drensky-Racine and Rached-Racine on polynomial identities of Jordan algebras respectively Jordan triple systems.

This paper has appeared in J. Algebra 211 (1999), 206--224.


Erhard Neher <neher@uottawa.ca>