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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.



Autor: Franz J. Király, Werner Lütkebohmert

Fuente: https://arxiv.org/







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