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Higher Auslander correspondence for dualizing R-varieties

Iyama, Osamu and Jasso, Gustavo LU (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.
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author
and
publishing date
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}},
}