Balmer, P., Krause, H. and Stevenson, G. (2020) The frame of smashing tensor-ideals. Mathematical Proceedings of the Cambridge Philosophical Society, 168(2), pp. 323-343. (doi: 10.1017/S0305004118000725)
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Abstract
We prove that every flat tensor-idempotent in the module category Mod -Tc of a tensor-triangulated category T comes from a unique smashing ideal in T. We deduce that the lattice of smashing ideals forms a frame.
| Item Type: | Articles |
|---|---|
| Additional Information: | The first author was supported by Humboldt Research Award and NSF grant DMS-1600032. |
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Stevenson, Dr Gregory |
| Authors: | Balmer, P., Krause, H., and Stevenson, G. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Mathematical Proceedings of the Cambridge Philosophical Society |
| Publisher: | Cambridge University Press |
| ISSN: | 0305-0041 |
| ISSN (Online): | 1469-8064 |
| Published Online: | 19 October 2018 |
| Copyright Holders: | Copyright © 2018 Cambridge Philosophical Society |
| First Published: | First published in Mathematical Proceedings of the Cambridge Philosophical Society 168(2): 323-343 |
| Publisher Policy: | Reproduced in accordance with the publisher copyright policy |
| Related URLs: |
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