minimal polynomial (Q2242730)
given an element α of a field extension E/F, the unique monic polynomial p∈F[x] of minimal degree such that p(α) = 0
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Current Data About minimal polynomial
(P31) (Q188211)

(P279) (Q3099696)

(P527) (Q1163608)

(P1889) (Q1163608)

(P2534) \min_{a \le b \iff \deg a \le \deg b}\{p\in K[x] \colon p(\alpha) = 0,\; p(x)=x^{\deg p}+\mathcal O(x^{\deg p-1})\}

(P6104) (Q8487137)

other details
description given an element α of a field extension E/F, the unique monic polynomial p∈F[x] of minimal degree such that p(α) = 0

External Links
(P646) /m/02pnlcl
(P2671) /g/1pwgtm21k
(P2812) AlgebraicNumberMinimalPolynomial
ExtensionFieldMinimalPolynomial
(P6366) 112941647