Modules in resolving subcategories which are free on the punctured spectrum
| dc.creator | Takahashi, Ryo | |
| dc.date | 2009-01-09 | |
| dc.date.accessioned | 2026-07-07T12:27:58Z | |
| dc.date.available | 2026-07-07T12:27:58Z | |
| dc.description | 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. | |
| dc.description | 18 pages, to appear in Pacific J. Math | |
| dc.identifier | https://arxiv.org/abs/0901.1174 | |
| dc.identifier | http://arxiv.org/abs/0901.1174 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/215392 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Rings and Algebras | |
| dc.subject | 13C05; 16D90; 16G60 | |
| dc.title | Modules in resolving subcategories which are free on the punctured spectrum | |
| dc.type | text |