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Torsion pairs and filtrations in abelian categories with tilting objects

Torsion pairs and filtrations in abelian categories with tilting objects

Given a noetherian abelian k-category [Formula: see text] of finite homological dimension, with a tilting object T of projective dimension 2, the abelian category [Formula: see text] and the abelian category of modules over End (T) op are related by a sequence of two tilts; we give an explicit description …