Ideals and differential operators in the ring of polynomials of infinitely many variables

被引：2

作者：

Laczkovich, M. ^{[1
,2
]}

机构：

[1] Eotvos Lorand Univ, Dept Anal, H-1117 Budapest, Hungary

[2] UCL, Dept Math, London WC1E 6BT, England

来源：

PERIODICA MATHEMATICA HUNGARICA | 2014年 / 69卷 / 02期

关键词：

Ideals of rings of polynomials; Polynomials of infinitely many variables; Krull's theorem; Differential operators;

D O I：

10.1007/s10998-014-0059-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let Omega be an uncountable and algebraically closed field. We prove that every ideal of the polynomial ring R = Omega[x(1), x(2), ...] is the intersection of ideals of the form {f is an element of R : D(fg)(c) = 0 for every g is an element of R}, where is a differential operator of locally finite order, and c is a vector with values in Omega.

引用

页码：109 / 119

页数：11

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