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.
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页码：109 / 119
页数：11
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