67 citations · 453 across the 47 of their papers we have counts for
4 papers · 2 filters
Nilpotence theorems via homological residue fields
Paul Balmer
We prove nilpotence theorems in tensor-triangulated categories using suitable Gabriel quotients of the module category, and discuss examples.
Tensor-triangular fields: Ruminations
Paul Balmer, Henning Krause, Greg Stevenson
We examine the concept of field in tensor-triangular geometry. We gather examples and discuss possible approaches, while highlighting open problems. As the construction of residue…
On the surjectivity of the map of spectra associated to a tensor-triangulated functor
Paul Balmer
We prove a few results about the map induced on tensor-triangular spectra by a tensor-triangulated functor . First, is conservative if and only if is surje…
The frame of smashing tensor-ideals
Paul Balmer, Henning Krause, Greg Stevenson
Given a tensor-triangulated category , we prove that every flat tensor-idempotent in the module category over (the compacts) comes from a unique smashing ideal in . We…