List questions from integer-rings | MathQA

Find an integral basis of $\mathbb{Q}(\alpha)$ where $\alpha^3-\alpha-4=0$

Published on 16 Apr 2026 - 19:00

Finding the ring of integers of $\mathbb Q[\alpha]$ with $\alpha^5=2\alpha+2$.

Published on 16 Apr 2026 - 14:40

Integer rings and UFDs in transcendental field extensions of $\mathbb{Q}$

Published on 25 Mar 2026 - 13:55

The ring of integers of a cubic number field generated by a root of $x^3-2x-2$

Published on 25 Mar 2026 - 13:57

sieve of Eratosthenes generalization to Dedekind domains or even PID's

Published on 25 Mar 2026 - 13:56

Integer ring of local field is DVR?

Published on 25 Mar 2026 - 13:53

How do I show that the ring of integers of $\mathbb{Q} (i+\sqrt{2} )$ is a Euclidean domain?

Published on 25 Mar 2026 - 13:57

Abelian subgroup $(M,+) \subset ( \mathbb{Z}[\alpha],+)$ is of the form $m\mathbb{Z}\oplus(a+b\alpha) \mathbb{Z}$

Published on 09 Apr 2026 - 8:09

Calculating $[\mathcal{O}_K : \mathfrak{p}]$ using basis

Published on 25 Mar 2026 - 13:51