Rings that are homologically of minimal multiplicity

Details Rings that are homologically of minimal multiplicity Rings that are homologically of minimal multiplicity

2009-04-25

arxiv.org/abs/0904.3982v2

Mathematics

Commutative Algebra

23 pages, minor revisions for v.2, final version, to appear in Comm. Algebra

Scientific paper

Let R be a local Cohen-Macaulay ring with canonical module \omega_R. We investigate the following question of Huneke: If the sequence of Betti numbers \{\beta_i^R(\omega_R)\} has polynomial growth, must R be Gorenstein? This question is well-understood when R has minimal multiplicity. We investigate this question for a more general class of rings which we say are homologically of minimal multiplicity. We provide several characterizations of the rings in this class and establish a general ascent and descent result.

Affiliated with

Also associated with

No associations

Rating

Rings that are homologically of minimal multiplicity 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 Rings that are homologically of minimal multiplicity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Rings that are homologically of minimal multiplicity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-671346