Irreducible Jacobian derivations in positive characteristic

• Autorzy: Piotr Jędrzejewicz
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Jacobian derivation; Ring of constants; p-basis

Kategorie tematyczne

• 13F20: Polynomial rings and ideals; rings of integer-valued polynomials
• 13N15: Derivations

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2014
• Tom: 12
• Numer: 8
• Strony: 1278-1284

Daty

wydano

2014-08-01

online

2014-05-08

Twórcy

autor

Piotr Jędrzejewicz

• Nicolaus Copernicus University

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-014-0402-5