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

Justyna Szpond. "Reduction of Power Series in a Polydisc with Respect to a Gröbner Basis." Bulletin of the Polish Academy of Sciences. Mathematics 53.2 (2005): 137-145. <http://eudml.org/doc/280673>.

@article{JustynaSzpond2005,
abstract = {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.},
author = {Justyna Szpond},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {Gröbner bases; polynomial ideals; power series; Nash function},
language = {eng},
number = {2},
pages = {137-145},
title = {Reduction of Power Series in a Polydisc with Respect to a Gröbner Basis},
url = {http://eudml.org/doc/280673},
volume = {53},
year = {2005},
}

TY - JOUR
AU - Justyna Szpond
TI - Reduction of Power Series in a Polydisc with Respect to a Gröbner Basis
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2005
VL - 53
IS - 2
SP - 137
EP - 145
AB - 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.
LA - eng
KW - Gröbner bases; polynomial ideals; power series; Nash function
UR - http://eudml.org/doc/280673
ER -