Reduction of Power Series in a Polydisc with Respect to a Gröbner Basis

• Autorzy: Justyna Szpond
• Języki publikacji: EN

Abstrakty

EN

We deal with a reduction of power series convergent in a polydisc with respect to a Gröbner basis of a polynomial ideal. The results are applied to proving that a Nash function whose graph is algebraic in a "large enough" polydisc, must be a polynomial. Moreover, we give an effective method for finding this polydisc.

Kategorie tematyczne

• 32C07: Real-analytic sets, complex Nash functions
• 13P10: Gr\"obner bases; other bases for ideals and modules (e.g., Janet and border bases)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2005
• Tom: 53
• Numer: 2
• Strony: 137-145

Daty

wydano

2005

Twórcy

autor

Justyna Szpond

• Institute of Mathematics, Pedagogical University, Podchorążych 2, 30-084 Kraków, Poland

Identyfikatory

DOI

10.4064/ba53-2-3