Skip to main content
added 5 characters in body; edited tags
Source Link
David White
  • 30.3k
  • 9
  • 154
  • 250

Let S be a multiplicative set in a ring R. We can see that every finitely generated (S^{-1})R$(S^{-1})R$-module is a localization of a finitely generated R-module.

Then, more generally, is every finitely n-presented (S^{-1})R$ (S^{-1})R$-module a localization of a finitely n-presented R-module ?

Let S be a multiplicative set in a ring R. We can see that every finitely generated (S^{-1})R-module is a localization of a finitely generated R-module.

Then, more generally, is every finitely n-presented (S^{-1})R-module a localization of a finitely n-presented R-module ?

Let S be a multiplicative set in a ring R. We can see that every finitely generated $(S^{-1})R$-module is a localization of a finitely generated R-module.

Then, more generally, is every finitely n-presented $ (S^{-1})R$-module a localization of a finitely n-presented R-module ?

added 4 characters in body; edited title
Source Link
Benjamin Steinberg
  • 38.6k
  • 3
  • 104
  • 186

is every finitely n-presented (SS^{-1})R-module a localization of a finitely n-presented R-module?

Let S be a multiplicative set in a ring R. We can see that every finitely generated (SS^{-1})R-module is a localization of a finitely generated R-module.

Then, more generally, is every finitely n-presented (SS^{-1})R-module a localization of a finitely n-presented R-module ?

is every finitely n-presented (S-1)R-module a localization of a finitely n-presented R-module?

Let S be a multiplicative set in a ring R. We can see that every finitely generated (S-1)R-module is a localization of a finitely generated R-module.

Then, more generally, is every finitely n-presented (S-1)R-module a localization of a finitely n-presented R-module ?

is every finitely n-presented (S^{-1})R-module a localization of a finitely n-presented R-module?

Let S be a multiplicative set in a ring R. We can see that every finitely generated (S^{-1})R-module is a localization of a finitely generated R-module.

Then, more generally, is every finitely n-presented (S^{-1})R-module a localization of a finitely n-presented R-module ?

Source Link

is every finitely n-presented (S-1)R-module a localization of a finitely n-presented R-module?

Let S be a multiplicative set in a ring R. We can see that every finitely generated (S-1)R-module is a localization of a finitely generated R-module.

Then, more generally, is every finitely n-presented (S-1)R-module a localization of a finitely n-presented R-module ?