Tilting preserves finite global dimension
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.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Académie des sciences
2020-09-01
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| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.72/ |
| _version_ | 1797651577165578240 |
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| author | Keller, Bernhard Krause, Henning |
| author_facet | Keller, Bernhard Krause, Henning |
| author_sort | Keller, Bernhard |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-11T16:17:49Z |
| format | Article |
| id | doaj.art-f006875c38fe472b9b2de0c334cba5ca |
| institution | Directory Open Access Journal |
| issn | 1778-3569 |
| language | English |
| last_indexed | 2024-03-11T16:17:49Z |
| publishDate | 2020-09-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj.art-f006875c38fe472b9b2de0c334cba5ca2023-10-24T14:18:59ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692020-09-01358556357010.5802/crmath.7210.5802/crmath.72Tilting preserves finite global dimensionKeller, Bernhard0Krause, Henning1Université de Paris, UFR de Mathématiques, Institut de Mathématiques de Jussieu–PRG, UMR 7586 du CNRS, Case 7012, Bâtiment Sophie Germain, 75205 Paris Cedex 13, FranceFakultät für Mathematik, Universität Bielefeld, 33501 Bielefeld, GermanyGiven 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.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.72/ |
| spellingShingle | Keller, Bernhard Krause, Henning Tilting preserves finite global dimension Comptes Rendus. Mathématique |
| title | Tilting preserves finite global dimension |
| title_full | Tilting preserves finite global dimension |
| title_fullStr | Tilting preserves finite global dimension |
| title_full_unstemmed | Tilting preserves finite global dimension |
| title_short | Tilting preserves finite global dimension |
| title_sort | tilting preserves finite global dimension |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.72/ |
| work_keys_str_mv | AT kellerbernhard tiltingpreservesfiniteglobaldimension AT krausehenning tiltingpreservesfiniteglobaldimension |