Higher Auslander correspondence for dualizing R-varieties
(2017) In Algebras and Representation Theory 20(2). p.335-354- Abstract
- Let R be a commutative artinian ring. We extend higher Auslander correspondence from Artin R-algebras of finite representation type to dualizing R-varieties. More precisely, for a positive integer d, we show that a dualizing R-variety is d-abelian if and only if it is a d-Auslander dualizing R-variety if and only if it is equivalent to a d-cluster-tilting subcategory of the category of finitely presented modules over a dualizing R-variety.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/dc2946cf-8821-4d2c-9b5f-512565cfb4c8
- author
- Iyama, Osamu and Jasso, Gustavo LU
- publishing date
- 2017
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Algebras and Representation Theory
- volume
- 20
- issue
- 2
- pages
- 20 pages
- publisher
- Springer
- external identifiers
-
- scopus:84990840486
- ISSN
- 1386-923X
- DOI
- 10.1007/s10468-016-9645-0
- language
- English
- LU publication?
- no
- id
- dc2946cf-8821-4d2c-9b5f-512565cfb4c8
- date added to LUP
- 2022-03-09 15:12:20
- date last changed
- 2023-01-02 13:16:35
@article{dc2946cf-8821-4d2c-9b5f-512565cfb4c8, abstract = {{Let R be a commutative artinian ring. We extend higher Auslander correspondence from Artin R-algebras of finite representation type to dualizing R-varieties. More precisely, for a positive integer d, we show that a dualizing R-variety is d-abelian if and only if it is a d-Auslander dualizing R-variety if and only if it is equivalent to a d-cluster-tilting subcategory of the category of finitely presented modules over a dualizing R-variety.}}, author = {{Iyama, Osamu and Jasso, Gustavo}}, issn = {{1386-923X}}, language = {{eng}}, number = {{2}}, pages = {{335--354}}, publisher = {{Springer}}, series = {{Algebras and Representation Theory}}, title = {{Higher Auslander correspondence for dualizing R-varieties}}, url = {{http://dx.doi.org/10.1007/s10468-016-9645-0}}, doi = {{10.1007/s10468-016-9645-0}}, volume = {{20}}, year = {{2017}}, }