A functorial approach to categorical resolutions
Abstract Using a relative version of Auslander’s formula, we give a functorial approach to show that the bounded derived category of every Artin algebra admits a categorical resolution. This, in particular, implies that the bounded derived categories of Artin algebras of finite global dimension dete...
Full description
| Author: |
Hafezi, Rasool [VerfasserIn] Keshavarz, Mohammad Hossein [VerfasserIn] |
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| Format: |
Electronic Article |
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| Language: |
English |
| Published: |
2019 |
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| Subjects: |
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| Containing Work: |
Enthalten in: Science in China - Asheville, NC : Science in China Press, 1995, 63(2019), 10 vom: 16. Dez., Seite 2005-2016 |
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| Containing Work: |
volume:63 ; year:2019 ; number:10 ; day:16 ; month:12 ; pages:2005-2016 |
| Links: |
Volltext [lizenzpflichtig] |
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| DOI / URN: |
10.1007/s11425-018-1614-3 |
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| Catalog id: |
SPR04122700X |
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| 245 | 1 | 2 | |a A functorial approach to categorical resolutions |
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| 520 | |a Abstract Using a relative version of Auslander’s formula, we give a functorial approach to show that the bounded derived category of every Artin algebra admits a categorical resolution. This, in particular, implies that the bounded derived categories of Artin algebras of finite global dimension determine bounded derived categories of all Artin algebras. Hence, this paper can be considered as a typical application of functor categories, introduced in representation theory by Auslander (1971), to categorical resolutions. | ||
| 650 | 4 | |a categorical resolutions | |
| 650 | 4 | |a Artin algebras | |
| 650 | 4 | |a Auslander’s formula | |
| 700 | 1 | |a Keshavarz, Mohammad Hossein |e verfasserin |4 aut | |
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