Bass Numbers and Semidualizing Complexes
| dc.creator | Sather-Wagstaff, Sean | |
| dc.date | 2008-12-03 | |
| dc.date | 2009-05-07 | |
| dc.date.accessioned | 2026-07-07T13:12:03Z | |
| dc.date.available | 2026-07-07T13:12:03Z | |
| dc.description | Let R be a commutative local noetherian ring. We prove that the existence of a chain of semidualizing R-complexes of length (d+1) yields a degree-d polynomial lower bound for the Bass numbers of R. We also show how information about certain Bass numbers of R provide restrictions on the lengths of chains of semidualizing R-complexes. To make this article somewhat self-contained, we also include a survey of some of the basic properties of semidualizing modules, semidualizing complexes and derived categories. | |
| dc.description | 28 pages, uses xy-pic; v.2 incorporates minor changes throughout, and discussions of semidualizing objects over non-local rings; v. 3 fixes errors in Theorem C and Theorem 4.2; final version to appear in Proceedings for Fifth International Fez Conference on Commutative Algebra and Applications | |
| dc.identifier | https://arxiv.org/abs/0812.0643 | |
| dc.identifier | http://arxiv.org/abs/0812.0643 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/229472 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13D02, 13D05, 13D07, 13D25 | |
| dc.title | Bass Numbers and Semidualizing Complexes | |
| dc.type | text |