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R-SUPPORTS IN TENSOR TRIANGULATED CATEGORIES

Grigory Garkusha Orcid Logo

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

Swansea University Author: Grigory Garkusha Orcid Logo

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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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first_indexed 2013-07-23T11:59:15Z
last_indexed 2018-02-09T04:36:16Z
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spelling 2011-10-01T00:00:00.0000000 v2 7740 2012-02-23 R-SUPPORTS IN TENSOR TRIANGULATED CATEGORIES 7d3826fb9a28467bec426b8ffa3a60e0 0000-0001-9836-0714 Grigory Garkusha Grigory Garkusha true false 2012-02-23 SMA 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. Journal Article Journal of Algebra and Its Applications 09 06 1001 1014 World Scientific 0219-4988 1793-6829 31 12 2010 2010-12-31 10.1142/S0219498810004361 http://www.worldscientific.com/doi/abs/10.1142/S0219498810004361 COLLEGE NANME Mathematics COLLEGE CODE SMA Swansea University 2011-10-01T00:00:00.0000000 2012-02-23T17:02:10.0000000 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Grigory Garkusha 0000-0001-9836-0714 1
title R-SUPPORTS IN TENSOR TRIANGULATED CATEGORIES
spellingShingle R-SUPPORTS IN TENSOR TRIANGULATED CATEGORIES
Grigory Garkusha
title_short R-SUPPORTS IN TENSOR TRIANGULATED CATEGORIES
title_full R-SUPPORTS IN TENSOR TRIANGULATED CATEGORIES
title_fullStr R-SUPPORTS IN TENSOR TRIANGULATED CATEGORIES
title_full_unstemmed R-SUPPORTS IN TENSOR TRIANGULATED CATEGORIES
title_sort R-SUPPORTS IN TENSOR TRIANGULATED CATEGORIES
author_id_str_mv 7d3826fb9a28467bec426b8ffa3a60e0
author_id_fullname_str_mv 7d3826fb9a28467bec426b8ffa3a60e0_***_Grigory Garkusha
author Grigory Garkusha
author2 Grigory Garkusha
format Journal article
container_title Journal of Algebra and Its Applications
container_volume 09
container_issue 06
container_start_page 1001
publishDate 2010
institution Swansea University
issn 0219-4988
1793-6829
doi_str_mv 10.1142/S0219498810004361
publisher World Scientific
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Mathematics and Computer Science - Mathematics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Mathematics
url http://www.worldscientific.com/doi/abs/10.1142/S0219498810004361
document_store_str 0
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description 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.
published_date 2010-12-31T03:09:39Z
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score 11.010322