If X is a noetherian subspace of Spec R, the set of primes of R[ x ] lying over X is also noetherian. A simple consequence is the theorem of Ohm and Pendleton that a ring module-finite over a ...
In this work we study flat modules over commutative noetherian rings under two kinds of restriction: that the modules are either submodules of free modules or that they have finite rank. The first ...