page1849 Rings Matthias Lorentzen...mattegrisenforlag.com
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Question
Let `F = QQ` and let `E = RR` or `E = CC`. Which extension
field must you choose , such that the polynomial `p(x) = x^2 + 1`
(irreducible over `QQ` and `RR`) lies outside `ker (phi_alpha)`
for any `alpha in E`
?
