Noetherian Skew Inverse Power Series Rings

Details Noetherian Skew Inverse Power Series Rings Noetherian Skew Inverse Power Series Rings

2007-03-19

arxiv.org/abs/math/0703558v3

Mathematics

Rings and Algebras

12 pages; no figures. Revised; to appear in Algebras and Representation Theory

Scientific paper

We study skew inverse power series extensions R[[y^{-1};tau,delta]], where R is a noetherian ring equipped with an automorphism tau and a tau-derivation delta. We find that these extensions share many of the well known features of commutative power series rings. As an application of our analysis, we see that the iterated skew inverse power series rings corresponding to nth Weyl algebras are complete local, noetherian, Auslander regular domains whose right Krull dimension, global dimension, and classical Krull dimension, are all equal to 2n.

Affiliated with

Also associated with

No associations

Rating

Noetherian Skew Inverse Power Series Rings 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 Noetherian Skew Inverse Power Series Rings, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Noetherian Skew Inverse Power Series Rings will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-31775