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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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 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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subjects Center
Centroid
Extended centroid
Martindale quotients
title Center, Centroid, Extended Centroid, and Quotients of Jordan Systems
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