Strong primeness of hermitian Jordan systems

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

(This paper has appeared in J. Algebra 198 (1997), 311-326)


J. A. Anquela < anque@pinon.ccu.uniovi.es >

T. Cortes < cortes@pinon.ccu.uniovi.es >

K. McCrimmon < kmm4m@virginia.edu >

F. Montaner < fmontane@posta.unizar.es >