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Strong Primeness of Hermitian Jordan Systems

✍ Scribed by José A. Anquela; Teresa Cortés; Kevin McCrimmon; Fernando Montaner

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
204 KB
Volume
198
Category
Article
ISSN
0021-8693

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✦ Synopsis

This paper establishes the strong primeness of all Jordan systems J of hermitian type, trapped between ample hermitian elements of a )-prime associative system Ž . Ž . R and its Martindale system of symmetric quotients Q R : H R,) : J :

. This completes the converse of Zelmanov's classification of strongly prime Jordan systems, providing ''if'' as well as ''only if'' classifications of strongly prime and primitive Jordan systems.

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