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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