(1) Let $R=k[x_1,\ldots,x_n]$. I wish to find an example of a non-finitely generated, non-divisible, non-projective, flat $R$-module. Notice that $k(x_1,\ldots,x_n)$ is NOT an example of what I am looking for, since it is divisible.
(2) More generally, same question but now with $R=$ any integral domain.
- Please read my pervious question which motivated me to ask the current question.