Let A be a Noetherian ring and I ⊂ A an ideal. For every n let M_n be a flat A/I^n-module. Let M_{n + 1} —> M_n be a surjective A-module map. Then the inverse limit M =lim M_n is a flat A-module (see Tag 0912).

Let A be a Noetherian ring and I ⊂ A an ideal. For every n let M_n be a flat A/I^n-module. Let M_{n + 1} —> M_n be a surjective A-module map. Then the inverse limit M =lim M_n is a flat A-module (see Tag 0912).