The Invertibility of Rational Univariate Representations  

作　　者：XIAO Shuijing ZENG Guangxing 

机构地区：[1]Department of Mathematics,Nanchang University,Nanchang 330031,China

出　　处：《Journal of Systems Science & Complexity》2022年第6期2430-2451,共22页系统科学与复杂性学报（英文版）

基　　金：the National Natural Science Foundation of China under Grant No.12161057。

摘　　要：In this paper,the so-called invertibility is introduced for rational univariate representations,and a characterization of the invertibility is given.It is shown that the rational univariate representations,obtained by both Rouillier’s approach and Wu’s method,are invertible.Moreover,the ideal created by a given rational univariate representation is defined.Some results on invertible rational univariate representations and created ideals are established.Based on these results,a new approach is presented for decomposing the radical of a zero-dimensional polynomial ideal into an intersection of maximal ideals.

关 键 词：INVERTIBILITY polynomial ideal rational univariate representation(RUR) Wu’s method ZERO-DIMENSIONAL 

分 类 号：O174.14[理学—数学]