Constructing Subalgebras of K[x] Using the Minimal Polynomial
In this report we will be working with subalgebras A of finite codimension in K[x]. It is known that such subalgebras can be expressed using a set of linear conditions evaluated at a finite set of points called the spectrum elements of A. These conditions are of one of two types, equality conditions or α-derivations, which in turn consists of the values and the values of the derivations of the ele
