A characterization of p-bases of rings of constants

• Autorzy: Piotr Jędrzejewicz
• Języki publikacji: EN

Abstrakty

EN

We obtain two equivalent conditions for m polynomials in n variables to form a p-basis of a ring of constants of some polynomial K-derivation, where K is a unique factorization domain of characteristic p > 0. One of these conditions involves Jacobians while the other some properties of factors. In the case m = n this extends the known theorem of Nousiainen, and we obtain a new formulation of the Jacobian conjecture in positive characteristic.

Słowa kluczowe

EN

Derivation; Ring of constants; p-basis; Jacobian conjecture

Kategorie tematyczne

• 13F20: Polynomial rings and ideals; rings of integer-valued polynomials
• 13N15: Derivations
• 14R15: Jacobian problem

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2013
• Tom: 11
• Numer: 5
• Strony: 900-909

Daty

wydano

2013-05-01

online

2013-03-14

Twórcy

autor

Piotr Jędrzejewicz

• Nicolaus Copernicus University

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-013-0207-y