Let R be a commutative ring with a filtration. Then f is said to be Noetherian in case the associated graded ringis Noetherian. The main result gives several characterizations of a Noetherian filtration on a Noetherian ring, and these are used to correct some erroneous results in the literature. They are then extended to filtrations on modules, and then these generalizations are tied in to some related results in the literature.