R is right coherent ring if every finite generated right ideal is finite presented.This is also equivalent to $\prod_SR$ is flat left R-module for any set $S$. It is easy to see right Noetherian ring is right coherent.
- Can someone give an example which is right coherent but not right Noetherian?
- Is there any relation between coherent ring and coherent sheaf? Does this definition come from algebraic geometry?
The standard example for 1 is a polynomial ring in infinitely many variables.