The frame of smashing tensor-ideals

Balmer, P., Krause, H. and Stevenson, G. (2018) The frame of smashing tensor-ideals. Mathematical Proceedings of the Cambridge Philosophical Society, (doi:10.1017/S0305004118000725) (Early Online Publication)

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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:Early Online Publication
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 2019
Publisher Policy:Reproduced in accordance with the publisher copyright policy
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