Localisation and colocalisation of triangulated categories at thick subcategories

  • Hvedri Inassaridze
  • Tamaz Kandelaki
  • Ralf Meyer

Abstract

Given a thick subcategory of a triangulated category, we define a colocalisation and a natural long exact sequence that involves the original category and its localisation and colocalisation at the subcategory. Similarly, we construct a natural long exact sequence containing the canonical map between a homological functor and its total derived functor with respect to a thick subcategory.
Published
2012-03-01
How to Cite
Inassaridze, H., Kandelaki, T., & Meyer, R. (2012). Localisation and colocalisation of triangulated categories at thick subcategories. MATHEMATICA SCANDINAVICA, 110(1), 59-74. https://doi.org/10.7146/math.scand.a-15196
Section
Articles