![abstract algebra - Understanding proof of "The ring of integers of a number field is a Dedekind domain" - Mathematics Stack Exchange abstract algebra - Understanding proof of "The ring of integers of a number field is a Dedekind domain" - Mathematics Stack Exchange](https://i.stack.imgur.com/xjR9t.png)
abstract algebra - Understanding proof of "The ring of integers of a number field is a Dedekind domain" - Mathematics Stack Exchange
![SOLVED: 3 This problem will step JOU through proof of the following theorem: every finite integral domain is a field The proof is non-constructive: we will be able to prove that every SOLVED: 3 This problem will step JOU through proof of the following theorem: every finite integral domain is a field The proof is non-constructive: we will be able to prove that every](https://cdn.numerade.com/ask_images/2e49166a9f0f417f8a88aeb94d1b828f.jpg)
SOLVED: 3 This problem will step JOU through proof of the following theorem: every finite integral domain is a field The proof is non-constructive: we will be able to prove that every
![SOLVED: An integral domain is commutative A division ring cannot be an integral domain A field is an integral domain A division ring is commutative A field has no zero divisors Every SOLVED: An integral domain is commutative A division ring cannot be an integral domain A field is an integral domain A division ring is commutative A field has no zero divisors Every](https://cdn.numerade.com/ask_images/2cfdaeda05f1450f948f7d9434adadca.jpg)
SOLVED: An integral domain is commutative A division ring cannot be an integral domain A field is an integral domain A division ring is commutative A field has no zero divisors Every
![abstract algebra - Does every element of an integral domain have an inverse? - Mathematics Stack Exchange abstract algebra - Does every element of an integral domain have an inverse? - Mathematics Stack Exchange](https://i.stack.imgur.com/D6z0I.png)