Higher Auslander Correspondence for Dualizing <Emphasis Type="Italic">R</Emphasis>-Varieties |
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Authors: | Osamu?Iyama Email author" target="_blank">Gustavo?JassoEmail author |
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Institution: | 1.Graduate School of Mathematics,Nagoya University,Nagoya,Japan;2.Mathematisches Institut,Universit?t Bonn,Bonn,Germany |
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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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