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Integral extension

Subject: Integral extension
From: "Gmath"
Date: 29 Apr 2006 18:38:06 -0700
Newsgroups: sci.math
Is there anyone can help me prove this problem? " Let S be an integral
extention over ring R. Then the polynomial ring S[x] is an integral
extension of R[x]" .  S is integral over ring R iff for each s in S
there is a monic polynomail f(y) in R[y]  such that f(s)=0. Thank you.


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