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- Jun 22, 2012

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A general question I have is the following:

Let [TEX] E \supseteq F [/TEX] be fields and let [TEX] u \in E [/TEX].

Now, if I determine an irreducible polynomial f in F[x] such that f(u) = 0 in E, can I conclude that I have found the minimal polynomial of u over F.

Can someone please help?

Peter

[Note: This has also been posted on MHF]