List questions from euclidean-domain

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GCD of rational and irrational numbers

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Implications between $K$ field and $K[x]$ PID and ED

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A doubt in the proof of $\mathbb{Z} + \mathbb{Z}\sqrt m$ is not Euclidean with respect to $\phi_m$

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Primes and irreducible elements in Euclidean domain

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High model performance degradation on use of cosine as distance function in machine learning compare to Euclidean

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Stillwell, Elements of NT, exercise 11.3.4. Proof check

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What is the structure of $\mathbb Z[i]/\mathfrak p$ where $\mathfrak p$ is a prime.

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Prove that $\forall z \in \Bbb C, \exists x \in \Bbb Z[j], |z-x|\leq \frac{\sqrt3}{2}$

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Is it necessary for an Euclidean domain to satisfies Triangle inequality

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50

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T[x] Euclidean if and only if T is a field.

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Class of rings between fields and euclidean domains (improvement of euclideanity)

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84

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Calculate the spreading of points

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Domain of the first derivative

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Gaussian numbers algorithmic operations.

Published on 26 Mar 2026 - 19:23

List Question

Polynomial division of polynomials in two variables

GCD of rational and irrational numbers

Implications between $K$ field and $K[x]$ PID and ED

A doubt in the proof of $\mathbb{Z} + \mathbb{Z}\sqrt m$ is not Euclidean with respect to $\phi_m$

Primes and irreducible elements in Euclidean domain

High model performance degradation on use of cosine as distance function in machine learning compare to Euclidean

Stillwell, Elements of NT, exercise 11.3.4. Proof check

What is the structure of $\mathbb Z[i]/\mathfrak p$ where $\mathfrak p$ is a prime.

Prove that $\forall z \in \Bbb C, \exists x \in \Bbb Z[j], |z-x|\leq \frac{\sqrt3}{2}$

Is it necessary for an Euclidean domain to satisfies Triangle inequality

T[x] Euclidean if and only if T is a field.

Class of rings between fields and euclidean domains (improvement of euclideanity)

Calculate the spreading of points

Domain of the first derivative

Gaussian numbers algorithmic operations.

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