Modules in resolving subcategories which are free on the punctured spectrum

Details Modules in resolving subcategories which are free on the punctured spectrum Modules in resolving subcategories which are free on the punctured spectrum

2009-01-09

arxiv.org/abs/0901.1174v1

Mathematics

Commutative Algebra

18 pages, to appear in Pacific J. Math

Scientific paper

Let R be a commutative noetherian local ring, and let X be a resolving subcategory of the category of finitely generated R-modules. In this paper, we study modules in X by relating them to modules in X which are free on the punctured spectrum of R. We do this by investigating nonfree loci and establishing an analogue of the notion of a level in a triangulated category which has been introduced by Avramov, Buchweitz, Iyengar and Miller. As an application, we prove a result on the dimension of the nonfree locus of a resolving subcategory having only countably many nonisomorphic indecomposable modules in it, which is a generalization of a theorem of Huneke and Leuschke.

Affiliated with

Also associated with

No associations

Rating

Modules in resolving subcategories which are free on the punctured spectrum 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 Modules in resolving subcategories which are free on the punctured spectrum, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Modules in resolving subcategories which are free on the punctured spectrum will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-544151