Higher Auslander correspondence for dualizing R-varieties

Osamu Iyama, Gustavo Jasso

Research output: Contribution to journalArticlepeer-review


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.
Original languageEnglish
Pages (from-to)335-354
Number of pages20
JournalAlgebras and Representation Theory
Issue number2
Early online date2016 Oct 4
Publication statusPublished - 2017
Externally publishedYes

Subject classification (UKÄ)

  • Algebra and Logic


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