English

The frame of smashing tensor-ideals

Category Theory 2024-09-10 v2 Algebraic Topology

Abstract

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

Keywords

Cite

@article{arxiv.1701.05937,
  title  = {The frame of smashing tensor-ideals},
  author = {Paul Balmer and Henning Krause and Greg Stevenson},
  journal= {arXiv preprint arXiv:1701.05937},
  year   = {2024}
}

Comments

21 pages; minor revision before publication

R2 v1 2026-06-22T17:55:37.556Z