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Topic: Square-free decomposition in fields of positive characteristic
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Posts: 1
Registered: 3/24/09
Square-free decomposition in fields of positive characteristic
Posted: Mar 24, 2009 1:31 AM
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Hi everyone,

I have the following doubt. Suppose K is a field of characteristic p>0 and f(X_1,...,X_n) a multivariate polynomial with coefficients in K such that deg(f) < p.

Is it true that f admits a square-free descomposition? I mean, with such hypothesis: can the usual algorithm for characteristic 0 be adapted to prove this without asking for the field K to be perfect?

Thanks a lot,

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