On Cofinitely Flat Quadratic Ok-Modules

Abstract

In this paper, we considered quadratic O-K-modules over the number fields and we defined the new concepts "cofinitely quadratic O-K-module" and "cofinitely flat quadratic O(K)module" for the integral ring O-K of the quadratic number fields. We described tensor product for these modules, and we extended them to the cofinitely quadratic O-K-modules. Finally we provided a main theorem by using these definitions.