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The frame of smashing tensor-ideals

Published online by Cambridge University Press:  19 October 2018

PAUL BALMER ,
HENNING KRAUSE  and
GREG STEVENSON
PAUL BALMER
Affiliation:
UCLA Mathematics Department, Los Angeles, CA 90095-1555, U.S.A. e-mail: [email protected], url: http://www.math.ucla.edu/~balmer
HENNING KRAUSE
Affiliation:
Universität Bielefeld, Fakultät für Mathematik, Postfach 10 01 31, 33501 Bielefeld, Germany. e-mail: [email protected], url: http://www.math.uni-bielefeld.de/~hkrause/
GREG STEVENSON
Affiliation:
School of Mathematics and Statistics, University of Glasgow, University Place, Glasgow G12 8QQ. e-mail: [email protected], url: http://www.maths.gla.ac.uk/~gstevenson/
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Abstract

We prove that every flat tensor-idempotent in the module category Mod- of a tensor-triangulated category comes from a unique smashing ideal in . We deduce that the lattice of smashing ideals forms a frame.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 168 , Issue 2 , March 2020 , pp. 323 - 343
Copyright
Copyright © Cambridge Philosophical Society 2018 

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