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Squarefree decomposition in fields of positive characteristic
Posted:
Mar 24, 2009 1:31 AM


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 squarefree 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, Peter



