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arXiv 2007-02-16 0 views

Auslander-type conditions and cotorsion pairs

Huang, Zhaoyong · Iyama, Osamu

Original · EN

We study the properties of rings satisfying Auslander-type conditions. If an artin algebra Λ satisfies the Auslander condition (that is, Λ is an ∞-Gorenstein artin algebra), then we construct two kinds of subcategories which form functorially finite cotorsion pairs.

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