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R-SUPPORTS IN TENSOR TRIANGULATED CATEGORIES
Journal of Algebra and Its Applications, Volume: 09, Issue: 06, Pages: 1001 - 1014
Swansea University Author:
Grigory Garkusha
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DOI (Published version): 10.1142/S0219498810004361
Abstract
Various authors classified the thick triangulated ⊗-subcategories of the category of compact objects for appropriate compactly generated tensor triangulated categories by using supports of objects. In this paper we introduce R-supports for ring objects, showing that these completely determine the th...
| Published in: | Journal of Algebra and Its Applications |
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| ISSN: | 0219-4988 1793-6829 |
| Published: |
World Scientific
2010
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| Online Access: |
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa7740 |
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| Abstract: |
Various authors classified the thick triangulated ⊗-subcategories of the category of compact objects for appropriate compactly generated tensor triangulated categories by using supports of objects. In this paper we introduce R-supports for ring objects, showing that these completely determine the thick triangulated ⊗-subcategories. R-supports give a general framework for the celebrated classification theorems by Benson–Carlson–Rickard–Friedlander–Pevtsova, Hopkins–Smith and Hopkins–Neeman–Thomason. |
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| College: |
Faculty of Science and Engineering |
| Issue: |
06 |
| Start Page: |
1001 |
| End Page: |
1014 |