List questions from euclidean-domain | MathQa

Examples of nonstandard Euclidean functions on Euclidean domain

Published on 13 Jan 2025 - 0:07

Euclidean Domain, Associates

Published on 13 Jan 2025 - 2:42

Short inequality proof on $\mathbb{Z}[\sqrt{-2}]$

Published on 12 Jan 2025 - 22:27

Division in $\mathbb{Z}[i]$

Published on 12 Jan 2025 - 17:35

Motivation of the definition of Euclidean Domain

Published on 13 Jan 2025 - 3:00

Number of invertible elements in quotient ring

Published on 13 Jan 2025 - 3:03

Prove that $R=\mathbb{Z}[i]$ is a Euclidean domain via $N(a+bi) = a^2+b^2. $

Published on 13 Jan 2025 - 3:02

Prove that $\mathbb{Z}[\sqrt{-2}]$ is a Euclidean domain and $\mathbb{Z}[\sqrt{-10}]$ is not

Published on 13 Jan 2025 - 2:43

Proof of: if A is an integral domain, then the units of A[x] are the constant polynomials that are units of A

Published on 13 Jan 2025 - 2:40

Does anyone know when/in what work Dedekind introduced the concept of a Euclidean domain?

Published on 13 Jan 2025 - 2:47