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Irreducible Jacobian derivations in positive characteristic

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Central European Journal of Mathematics

Abstract

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.

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Correspondence to Piotr Jędrzejewicz.

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Jędrzejewicz, P. Irreducible Jacobian derivations in positive characteristic. centr.eur.j.math. 12, 1278–1284 (2014). https://doi.org/10.2478/s11533-014-0402-5

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  • DOI: https://doi.org/10.2478/s11533-014-0402-5

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