Center, Centroid, Extended Centroid, and Quotients of Jordan Systems

In this article 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.

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Bibliographic Details
Published in:Communications in algebra 2006-12, Vol.34 (12), p.4311-4326
Main Authors: García, Esther, Lozano, Miguel Gómez
Format: Article
Language:English
Subjects:
Center
Centroid
Extended centroid
Martindale quotients
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Description
Summary:In this article 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.
ISSN:0092-7872
1532-4125
DOI:10.1080/00927870600878066