### Invariants of normal local rings by p-cyclic group actionsInvariants of normal local rings by p-cyclic group actions

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 Author Király, Franz J. ♦ Lütkebohmert, Werner Source arXiv.org Content type Text File Format PDF Date of Submission 2010-01-12 Language English
 Subject Domain (in DDC) Natural sciences & mathematics ♦ Mathematics Subject Keyword Mathematics - Commutative Algebra ♦ Mathematics - Algebraic Geometry ♦ 13A50 (Primary) ♦ 14L30 (Secondary) ♦ math Abstract Let $B$ be a Noetherian normal local ring, and $G\subset\Aut(B)$ a cyclic group of local automorphisms of prime order. Let $A$ be the ring of $G$-invariants of $B$, assume that $A$ is Noetherian. We study the invariant morphism; in particular, 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. Description Reference: Algebra and Number Theory, Vol.7, No.1, 63-74. 2013 Educational Use Research Learning Resource Type Article