Auslander-Reiten conjecture for modules whose (self) dual has finite complete intersection dimension
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908882348015616 |
|---|---|
| author | Ghosh, Dipankar Samanta, Mouma |
| author_facet | Ghosh, Dipankar Samanta, Mouma |
| contents | Over a commutative Noetherian ring, we show that the Auslander-Reiten conjecture holds true for the class of (finitely generated) modules whose dual has finite complete intersection dimension. We provide another result that validates the conjecture for the class of modules whose self dual has finite complete intersection dimension and either the module or its dual has finite Gorenstein dimension. Thus we combine and strengthen a number of results in the literature, due to Auslander-Ding-Solberg, Dey-Ghosh and Rubio-Pérez. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_01497 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Auslander-Reiten conjecture for modules whose (self) dual has finite complete intersection dimension Ghosh, Dipankar Samanta, Mouma Commutative Algebra 13D07, 13D05 Over a commutative Noetherian ring, we show that the Auslander-Reiten conjecture holds true for the class of (finitely generated) modules whose dual has finite complete intersection dimension. We provide another result that validates the conjecture for the class of modules whose self dual has finite complete intersection dimension and either the module or its dual has finite Gorenstein dimension. Thus we combine and strengthen a number of results in the literature, due to Auslander-Ding-Solberg, Dey-Ghosh and Rubio-Pérez. |
| title | Auslander-Reiten conjecture for modules whose (self) dual has finite complete intersection dimension |
| topic | Commutative Algebra 13D07, 13D05 |
| url | https://arxiv.org/abs/2405.01497 |