A short proof of Cartan's Nullstellensatz for entire functions in Cn

被引：0

作者：

Mortini, Raymond ^{[1
,2
]}

机构：

[1] Univ Lorraine, Dept Math, F-7045 Metz, France

[2] Univ Lorraine, Inst Elie Cartan Lorraine, UMR 7502, F-7045 Metz, France

来源：

ARCHIV DER MATHEMATIK | 2015年 / 105卷 / 02期

关键词：

Entire functions; Cartan's Nullstellensatz; Polydisk algebra; Maximal ideals;

D O I：

10.1007/s00013-015-0786-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using the fact that the maximal ideals in the polydisk algebra are given by the kernels of point evaluations, we derive a simple formula that gives a solution to the B,zout equation in the space of all entire functions of several complex variables. Thus a short and easy analytic proof of Cartan's Nullstellensatz is obtained.

引用

页码：149 / 152

页数：4

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