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Primitivity in Jordan Systems is Ubiquitous

✍ Scribed by José A. Anquela; Teresa Cortés


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
232 KB
Volume
202
Category
Article
ISSN
0021-8693

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✦ Synopsis


Ž q y . The main result of the paper asserts that if a Jordan pair

X .

-primitive at some 0 / b g V , then it is " -primitive at any 0 / b g V . Also, if a Jordan triple system T is primitive at some 0 / b g T, then it is primitive at any 0 / b X g T. As a tool, similar results concerning one-sided primitivity and

)-primitivity of associative pairs and triple systems are established. Equivalences between our definitions of primitivity and some other appearing in the literature are also obtained as a consequence.


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