# Invariants of normal local rings by p-cyclic group actions - Mathematics > Commutative Algebra

Invariants of normal local rings by p-cyclic group actions - Mathematics > Commutative Algebra - Download this document for free, or read online. Document in PDF available to download.

Abstract: Let $B$ be a Noetherian normal local ring, and $G\subset\AutB$ a cyclicgroup of local automorphisms of prime order. Let $A$ be the ring of$G$-invariants of $B$, assume that $A$ is Noetherian. We study the invariantmorphism; in particular, we prove that $B$ is a monogenous $A$-algebra if andonly if the augmentation ideal of $B$ is principal. If in particular $B$ isregular, we prove that $A$ is regular if the augmentation ideal of $B$ isprincipal.

Author: ** Franz J. Király, Werner Lütkebohmert**

Source: https://arxiv.org/