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Adelic models of tensor-triangulated categories
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Balchin, Scott and Greenlees, John (2020) Adelic models of tensor-triangulated categories. Advances in Mathematics, 375 . 107339. doi:10.1016/j.aim.2020.107339 ISSN 0001-8708.
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WRAP-Adelic-models-tensor-triangulated-Greenlees-2020.pdf - Accepted Version - Requires a PDF viewer. Available under License Creative Commons Attribution Non-commercial No Derivatives 4.0. Download (1006Kb) | Preview |
Official URL: http://dx.doi.org/10.1016/j.aim.2020.107339
Abstract
We show that a well behaved Noetherian, finite dimensional, stable, monoidal model category has a model built from categories of modules over completed rings in an adelic fashion. Special cases include abelian groups (the Hasse square), chromatic homotopy theory (a module theoretic chromatic fracture square), and rational torus-equivariant homotopy theory (first step to the model of [30]).
| Item Type: | Journal Article | ||||||||||||
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| Subjects: | Q Science > QA Mathematics | ||||||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||||||
| Library of Congress Subject Headings (LCSH): | Noetherian rings , Abelian groups , Homotopy theory, Tensor fields , Categories (Mathematics) | ||||||||||||
| Journal or Publication Title: | Advances in Mathematics | ||||||||||||
| Publisher: | Academic Press | ||||||||||||
| ISSN: | 0001-8708 | ||||||||||||
| Official Date: | 2 December 2020 | ||||||||||||
| Dates: |
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| Volume: | 375 | ||||||||||||
| Article Number: | 107339 | ||||||||||||
| DOI: | 10.1016/j.aim.2020.107339 | ||||||||||||
| Status: | Peer Reviewed | ||||||||||||
| Publication Status: | Published | ||||||||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||||||||
| Date of first compliant deposit: | 2 September 2020 | ||||||||||||
| Date of first compliant Open Access: | 14 August 2021 | ||||||||||||
| RIOXX Funder/Project Grant: |
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