The Auslander Bound for Complexes
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911169758887936 |
|---|---|
| author | Levins, Andrew J. Soto |
| author_facet | Levins, Andrew J. Soto |
| contents | If a module $M$ has finite projective dimension, then the Ext modules of $M$ against any other module eventually vanish and the projective dimension of $M$ gives a uniform bound for this vanishing. For modules of infinite projective dimension there can still exist a bound. Such a bound is called the Auslander bound. In this paper we define a similar bound for complexes and give applications. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_06130 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Auslander Bound for Complexes Levins, Andrew J. Soto Commutative Algebra 13D07 (Primary) If a module $M$ has finite projective dimension, then the Ext modules of $M$ against any other module eventually vanish and the projective dimension of $M$ gives a uniform bound for this vanishing. For modules of infinite projective dimension there can still exist a bound. Such a bound is called the Auslander bound. In this paper we define a similar bound for complexes and give applications. |
| title | The Auslander Bound for Complexes |
| topic | Commutative Algebra 13D07 (Primary) |
| url | https://arxiv.org/abs/2402.06130 |