Skip to main content
Source Link
Fred.Fred
  • 409
  • 3
  • 9

Injective flat module

Let $R$ be a (right noetherian) ring. Is there always a right $R$-module which is both flat and injective? If $R$ is an integral domain, then the answer is indeed yes, as the quotient field is such.

Sorry if this is too silly, but so far I'm stuck.