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.
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页码：63 / 74
页数：12
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