Definition: Integral Closure
Let \(S\) be an algebra over the ring \(R\). The set of all integral elements \(x\in S\) is called the integral closure of \(R\) in \(S\).
Adapted from CC BY-SA 3.0 Sources:
- Brenner, Prof. Dr. rer. nat., Holger: Various courses at the University of Osnabrück