Irreducible Jacobian derivations in positive characteristic
Piotr Jędrzejewicz (2014)
Open Mathematics
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We prove that an irreducible polynomial derivation in positive characteristic is a Jacobian derivation if and only if there exists an (n-1)-element p-basis of its ring of constants. In the case of two variables we characterize these derivations in terms of their divergence and some nontrivial constants.