Center, Centroid, Extended Centroid and Quotients of Jordan Systems

In this paper we prove that the extended centroid of a nondegenerate Jordan system is isomorphic to the centroid (and to the center in the case of Jordan algebras) of its maximal Martindale-like system of quotients with respect to the filter of all essential ideals.

centroid.pdf (176K)

(This paper has appeared in Comm. Algebra 34 (2006), no. 12, 4311--4326)

E. García < esther.garcia@urjc.es >

M. Gómez Lozano < magomez@agt.cie.uma.es >