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 \(S\).
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References
Adapted from CC BYSA 3.0 Sources:
 Brenner, Prof. Dr. rer. nat., Holger: Various courses at the University of OsnabrÃ¼ck