![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
![There is Exactly One Ring Homomorphism From the Ring of Integers to Any Ring | Problems in Mathematics There is Exactly One Ring Homomorphism From the Ring of Integers to Any Ring | Problems in Mathematics](https://i0.wp.com/yutsumura.com/wp-content/uploads/2016/12/ring-theory-eye-catch-e1497227610548.jpg?resize=720%2C340&ssl=1)
There is Exactly One Ring Homomorphism From the Ring of Integers to Any Ring | Problems in Mathematics
![ring theory - Help me understand this proof from Artin's Algebra about algebraic integers in $\mathbb Q[\sqrt d]$. - Mathematics Stack Exchange ring theory - Help me understand this proof from Artin's Algebra about algebraic integers in $\mathbb Q[\sqrt d]$. - Mathematics Stack Exchange](https://i.stack.imgur.com/HUeff.png)
ring theory - Help me understand this proof from Artin's Algebra about algebraic integers in $\mathbb Q[\sqrt d]$. - Mathematics Stack Exchange
![SOLVED: common question we ask is: given given rng; what are its subrings? Sometimes this question is intractable; but for the ring of integers; the answer is straightforward. Show that for every SOLVED: common question we ask is: given given rng; what are its subrings? Sometimes this question is intractable; but for the ring of integers; the answer is straightforward. Show that for every](https://cdn.numerade.com/ask_images/823596dcf2d6416f95d34d72583be648.jpg)
SOLVED: common question we ask is: given given rng; what are its subrings? Sometimes this question is intractable; but for the ring of integers; the answer is straightforward. Show that for every
![abstract algebra - Ideals of the quadratic integer ring $\mathbb{Z}[\sqrt{-5}]$ - Mathematics Stack Exchange abstract algebra - Ideals of the quadratic integer ring $\mathbb{Z}[\sqrt{-5}]$ - Mathematics Stack Exchange](https://i.stack.imgur.com/l2otP.png)