UC Riverside

We will provide some results on Hilbert modules, namely an equivalent condition for

faithful Noetherian modules to be Hilbert. Then, we will generalize the notion of a Hilbert

rings and modules to create the concept of C-Hilbert rings and modules. Finally, to provide

more examples of C-Hilbert modules, we will take the notion of strongly Hilbert rings and

extend them to strongly Hilbert modules.