Stable Border Bases for Ideals of Numerical Cartesian Sets
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@Article{CMR-27-243,
author = {Liu , LiliLi , Zhe and Zhang , Shugong},
title = {Stable Border Bases for Ideals of Numerical Cartesian Sets},
journal = {Communications in Mathematical Research },
year = {2021},
volume = {27},
number = {3},
pages = {243--252},
abstract = {
In this paper, we discuss a special class of sets of bivariate empirical points, namely, numerical cartesian sets. We find that the stable quotient bases for numerical cartesian sets are unique if they exist. Furthermore, the corresponding border bases are the unique stable border bases for the vanishing ideals of numerical cartesian sets.
}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19089.html} }
TY - JOUR
T1 - Stable Border Bases for Ideals of Numerical Cartesian Sets
AU - Liu , Lili
AU - Li , Zhe
AU - Zhang , Shugong
JO - Communications in Mathematical Research
VL - 3
SP - 243
EP - 252
PY - 2021
DA - 2021/05
SN - 27
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cmr/19089.html
KW - empirical point, numerical cartesian set, vanishing ideal, border base.
AB -
In this paper, we discuss a special class of sets of bivariate empirical points, namely, numerical cartesian sets. We find that the stable quotient bases for numerical cartesian sets are unique if they exist. Furthermore, the corresponding border bases are the unique stable border bases for the vanishing ideals of numerical cartesian sets.
Lili Liu, Zhe Li & Shugong Zhang. (2021). Stable Border Bases for Ideals of Numerical Cartesian Sets.
Communications in Mathematical Research . 27 (3).
243-252.
doi:
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