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Higher Auslander's Formula.
- Source :
-
IMRN: International Mathematics Research Notices . Nov2022, Vol. 2022 Issue 22, p18186-18203. 18p. - Publication Year :
- 2022
-
Abstract
- Let |$\mathcal{M}$| be a small |$n$| -abelian category. We show that the category of finitely presented functors |${\operatorname{mod}}$| - |$\mathcal{M}$| modulo the subcategory of effaceable functors |${\operatorname{mod}}_0$| - |$\mathcal{M}$| has an |$n$| -cluster tilting subcategory, which is equivalent to |$\mathcal{M}$|. This gives a higher-dimensional version of Auslander's formula. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ABELIAN categories
Subjects
Details
- Language :
- English
- ISSN :
- 10737928
- Volume :
- 2022
- Issue :
- 22
- Database :
- Academic Search Index
- Journal :
- IMRN: International Mathematics Research Notices
- Publication Type :
- Academic Journal
- Accession number :
- 160466442
- Full Text :
- https://doi.org/10.1093/imrn/rnab219