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R-SUPPORTS IN TENSOR TRIANGULATED CATEGORIES / Grigory, Garkusha

Journal of Algebra and Its Applications, Volume: 09, Issue: 06, Pages: 1001 - 1014

Swansea University Author: Grigory, Garkusha

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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 th...

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Published in: Journal of Algebra and Its Applications
ISSN: 0219-4988 1793-6829
Published: World Scientific 2010
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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.
College: College of Science
Issue: 06
Start Page: 1001
End Page: 1014