Skip to main content

New answers tagged

4 votes

Example of non injective module over Noetherian local ring with trivial vanishing against residue field?

If you take $R=k[[x,y]]$ and $M=k[[x]][x^{-1}]$, this should give you an example. $M$ is not injective because there is a non-split injective map $M \to R[x^{-1},y^{-1}]/yR[x^{-1}]$. But if you ...
Dave Benson's user avatar
  • 13.9k

Top 50 recent answers are included