Primitive algebras with PI primitizers

We show that a primitive (resp. *-primitive) associative algebra having a nonzero PI primitizer (resp. *-primitizer) is necessarily PI. Similarly, a primitive Jordan algebra having a PI primitizer with nonzero square is PI.

(To appear in Comm. in Algebra)

PI-primitizer.dvi (52 KB)
PI-primitizer.dvi.gz (22 KB)

J. A. Anquela <anque@pinon.ccu.uniovi.es>

E. Garcia <egarciag@mat.ucm.es>