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math.CT2013
On tilted Giraud subcategories
Riccardo Colpi, Luisa Fiorot, Francesco Mattiello
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 deve…
math.CT2010
When an abelian category with a tilting object is equivalent to a module category
Riccardo Colpi, Francesca Mantese, Alberto Tonolo
An abelian category with arbitrary coproducts and a small projective generator is equivalent to a module category \cite{Mit}. A tilting object in a abelian category is a natural ge…