Generically algebraic Jordan algebras over commutative rings

The theory of the generic minimum polynomial, norm and trace is developed for quadratic Jordan algebras which are finitely generated and projective modules over an arbitrary commutative base ring, using scheme-theoretic methods. We recover, with new proofs, most of the classical theory over fields, and also obtain a number of results which are new even in the classical setting.

(This paper has appeared in J. Algebra 297 (2006), 474--529)


Ottmar Loos < ottmar.loos@uibk.ac.at >