The frame of smashing tensor-ideals

Published 20 Jan 2017 in math.CT and math.AT | (1701.05937v2)

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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