Invariants of normal local rings by p-cyclic group actions

Details Invariants of normal local rings by p-cyclic group actions Invariants of normal local rings by p-cyclic group actions

2010-01-12

arxiv.org/abs/1001.1945v3

Mathematics

Commutative Algebra

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Invariants of normal local rings by p-cyclic group actions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Invariants of normal local rings by p-cyclic group actions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Invariants of normal local rings by p-cyclic group actions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-459706