Definition: Ring of Integers

Let \({\mathbb {Q} }\subseteq L\) be a finite field extention. The integral closure of \(\mathbb {Z} \) in \(L\) is called the ring of integers in \(L\). Thereby, \(\mathbb Q\) denotes the field of rational numbers and \(\mathbb Z\) denotes the integral domain of integers.


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References

Adapted from CC BY-SA 3.0 Sources:

  1. Brenner, Prof. Dr. rer. nat., Holger: Various courses at the University of Osnabrück