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.
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页码：149 / 152
页数：4
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