PSEUDO ALGEBRAICALLY CLOSED FIELDS OVER RINGSbyMoshe
نویسنده
چکیده
We prove that for almost all 2 G(Q) e the eld ~ Q() has the following property: For each absolutely irreducible aane variety V of dimension r and each dominating separable rational map ': V ! A r there exists a point a 2 V (~ Q()) such that '(a) 2 Z r. We then say that ~ Q() is PAC over Z. This is a stronger property then being PAC. Indeed we show that beside the elds ~ Q() other elds which are algebraic over Q and are known in the literature to be PAC are not PAC over Z.
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