Stable Border Bases for Ideals of Numerical Cartesian Sets  

作　　者：LIU LI-LI LI ZHE ZHANG SHU-GONG 

机构地区：[1]Institute of Mathematics, Jilin University, Changchun, 130012

出　　处：《Communications in Mathematical Research》2011年第3期243-252,共10页数学研究通讯（英文版）

基　　金：Partially supported by the National Grand Fundamental Research 973 Program (2004CB318000) of China

摘　　要：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.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.

关 键 词：empirical point numerical cartesian set vanishing ideal border base 

分 类 号：O11[理学—数学] TP301.6[理学—基础数学]