Group actions of prime order on local normal rings

被引：4

作者：

Kiraly, Franz ^{[1
,2
,3
]}

Luetkebohmert, Werner ^{[4
]}

机构：

[1] Berlin Inst Technol, Machine Learning Grp, D-10587 Berlin, Germany

[2] Free Univ Berlin, Discrete Geometry Grp, D-14195 Berlin, Germany

[3] Math Forschungsinst Oberwolfach, D-77709 Oberwolfach, Germany

[4] Univ Ulm, Dept Pure Math, D-89069 Ulm, Germany

来源：

ALGEBRA & NUMBER THEORY | 2013年 / 7卷 / 01期

关键词：

algebraic geometry; commutative algebra; group actions;

D O I：

10.2140/ant.2013.7.63

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let B be a Noetherian normal local ring and G subset of Aut(B) be a cyclic group of local automorphisms of prime order. Let A be the subring of G-invariants of B and assume that A is Noetherian. We prove that B is a monogenous A-algebra if and only if the augmentation ideal of B is principal. If in particular B is regular, we prove that A is regular if the augmentation ideal of B is principal.

引用

页码：63 / 74

页数：12

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