The frame of smashing tensor-ideals
Fuente:
arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2017
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| _version_ | 1866910593454178304 |
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| author | Balmer, Paul Krause, Henning Stevenson, Greg |
| author_facet | Balmer, Paul Krause, Henning Stevenson, Greg |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1701_05937 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | The frame of smashing tensor-ideals Balmer, Paul Krause, Henning Stevenson, Greg Category Theory Algebraic Topology 18E30 (55U35) 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. |
| title | The frame of smashing tensor-ideals |
| topic | Category Theory Algebraic Topology 18E30 (55U35) |
| url | https://arxiv.org/abs/1701.05937 |