Geodesic
Reduction of Power Series in a Polydisc with Respect to a Gröbner Basis
Justyna Szpond1
1 Institute of Mathematics Pedagogical University Podchor/a/zych 2 30-084 Krak/ow, Poland
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 53 (2005) no. 2, pp. 137-145.

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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.
DOI : 10.4064/ba53-2-3
Keywords: reduction power series convergent polydisc respect bner basis polynomial ideal results applied proving nash function whose graph algebraic large enough polydisc polynomial moreover effective method finding polydisc

Justyna Szpond 1

1 Institute of Mathematics Pedagogical University Podchor/a/zych 2 30-084 Krak/ow, Poland 
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Justyna Szpond. Reduction of Power Series
 in a Polydisc  with
Respect to a Gröbner Basis. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 53 (2005) no. 2, pp. 137-145. doi : 10.4064/ba53-2-3. http://geodesic.mathdoc.fr/articles/10.4064/ba53-2-3/

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