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Results tagged with power-series
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user 128502
6
votes
Accepted
Derivative of an algebraic power series in positive characteristic
Let $p=\operatorname{char}(K)$.
By minimality of $P$, if $R(f(T))$ was zero, then $R(X)=0$. Thus, $p$ divides the degree of each nonzero coefficient of $P(X)$, so $P$ is not separable.
But the exte …
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