Tilting preserves finite global dimension - Sorbonne Université
Journal Articles Comptes Rendus. Mathématique Year : 2020

Tilting preserves finite global dimension

Bernhard Keller
  • Function : Author
  • PersonId : 1079312
Institut de Mathématiques de Jussieu - Paris Rive Gauche
Henning Krause
  • Function : Author
  • PersonId : 1079313
Universität Bielefeld = Bielefeld University

Abstract

Given a tilting object of the derived category of an abelian category of finite global dimension, we give (under suitable finiteness conditions) a bound for the global dimension of its endomorphism ring.

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Mathematics [math]
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Submitted on : Thursday, October 15, 2020-3:02:04 PM

Last modification on : Friday, April 26, 2024-2:17:49 PM

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hal-02968210 , version 1 (15-10-2020)

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Bernhard Keller, Henning Krause. Tilting preserves finite global dimension. Comptes Rendus. Mathématique, 2020, 358 (5), pp.563 - 570. ⟨10.5802/crmath⟩. ⟨hal-02968210⟩

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