Localisation and colocalisation of triangulated categories at thick subcategories

• Autores: Hvedri Inassaridze, Tamaz Kandelaki, Ralf Meyer
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 110, Nº 1, 2012, págs. 59-74
• Idioma: inglés
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• Resumen

  • 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.