ABSTRACT
In this section we want to exploit the theory of field extensions to study integral ring extensions. The situation will usually be as follows: R is an integral domain with quotient field K, L is an field extension of K and S is the integral closure of R in L. Then knowledge on (L : K) will be used to obtain information on (S : R). https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315136554/b1e97aa6-f63a-4d22-960d-a98dde0e94f9/content/pg291_1.tif"/>
