Primitivity in Jordan Systems is Ubiquitous
The main result of the paper asserts that if a Jordan pair is
(+) or (-)-primitive at some nonzero element, then it is (+) and (-)-primitive
at any nonzero element. Also, if a Jordan triple system is primitive at some
nonzero element, then it is primitive at any nonzero element. 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.
(This paper has appeared in J. Algebra 202 (1998) 295-314)
J. A. Anquela
<anque@pinon.ccu.uniovi.es>
T. Cortes
<cortes@pinon.ccu.uniovi.es>