On tilted Giraud subcategories
Category Theory
2015-01-23 v2
Abstract
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 and those of its tilt i.e., the heart of a t-structure on induced by a torsion pair.
Cite
@article{arxiv.1307.1987,
title = {On tilted Giraud subcategories},
author = {Riccardo Colpi and Luisa Fiorot and Francesco Mattiello},
journal= {arXiv preprint arXiv:1307.1987},
year = {2015}
}
Comments
Updated: dedication to Alberto Facchini on the occasion of his 60th Birthday added in front matter; 15 pages