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arXiv · 1701.05937

The frame of smashing tensor-ideals

Paul Balmer·Henning Krause·Greg Stevenson
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Abstract

Given a tensor-triangulated category $T$, we prove that every flat tensor-idempotent in the module category over $T^c$ (the compacts) comes from a unique smashing ideal in $T$. We deduce that the lattice of smashing ideals forms a frame.

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Paul Balmer, Henning Krause, Greg Stevenson. 2017-01-20. The frame of smashing tensor-ideals. https://doi.org/10.1017/s0305004118000725

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