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math.CT2025
Abelian versus triangulated quotients
Henning Krause
It is shown that any localisation of triangulated categories induces (up to an equivalence) a localisation of abelian categories when one passes to their abelianisations. From this…
math.CT2024
The Boolean spectrum of a Grothendieck category
Henning Krause
A notion of support for objects in any Grothendieck category is introduced. This is based on the spectral category of a Grothendieck category and uses its Boolean lattice of locali…