Strong primeness of hermitian Jordan systems

[摘要] 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): H-O(R, *)subset of or equal to J subset of or equal to H(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. (C) 1997 Academic Press.

[发布日期] 1997-12-01