We describe all possible universal localistions of a hereditary ring in terms of suitable full subcategories if the category of finitely presented modules. For these universal localisations we then identify the category of finitely presented bound modules over the universal localisation as being equivalent to a certain full subcategory of the category of finitely presented bound modules over the original ring. We also describe the abelian monoid of finitely generated projective modules over the universal localisation.
|Translated title of the contribution||Universal localisations of hereditary rings|
|Publisher||Cornell University Press|
|Publication status||Published - 2 Aug 2007|