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Dec 15, 2021 at 21:03 comment added fosco Yes. A thorough introduction to localisation of categories and in particular to the special case of reflective localisations, is in the first tome of Borceux's handbook. It would take too much time to expand :-)
Dec 15, 2021 at 19:36 comment added Køb @fosco Its my belief they are understanding a localization as some sort of reflection or adjunction, right?
Dec 15, 2021 at 19:23 comment added Køb @fosco Thanks so so much for your article recommendation. I'm checking it out and I want to follow the last part when he establish a bijection on an abelian category between their hereditary torsion theories and localizations. I follow her definition of an (hereditary) torsion theory but Its not so clear(at least for me) what he understands as a localization. How his definition of a localization is the same like this one? en.wikipedia.org/wiki/Localization_of_a_category
Dec 15, 2021 at 6:56 comment added fosco The go-to reference for this kind of stuff, in general categories (but largely specialised to the additive/abelian setting) is Cassidy, Hébert and Kelly's paper. I had a good understanding of this stuff at the times. Feel free to ask more specific questions!
Dec 14, 2021 at 20:27 history edited Køb CC BY-SA 4.0
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Dec 14, 2021 at 19:28 history asked Køb CC BY-SA 4.0