On tilted Giraud subcategories

Riccardo Colpi ^[1] ; Luisa Fiorot ^[1] ; Francesco Mattiello ^[1]
1. [1] University of Padua
  
  University of Padua
  
  Padova, Italia
Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 220, Nº 1 (January 2016), 2016, págs. 346-363
Idioma: inglés
DOI: 10.1016/j.jpaa.2015.06.016
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Resumen
- Firstly we provide a technique to move torsion pairs in abelian categories via adjoint functors and in particular through Giraud subcategories. We apply this point in order to develop a correspondence between Giraud subcategories of an abelian category CC and those of its tilt H(C)H(C) i.e., the heart of a t -structure on the derived category D(C)D(C) induced by a torsion pair.