List questions from euclidean-domain

Published on 13 Apr 2017 - 18:35

433

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Find the ideal generated by two elements in a Euclidean domain.

Published on 04 May 2017 - 2:16

912

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how to prove that the ring of algebraic integers of $\mathbb Q(\sqrt {69})$ is a PID or UFD

Published on 09 May 2017 - 13:06

1k

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How does Euclidean Domain imply Unique Factorization domain for Gaussian Integers?

Published on 26 Mar 2026 - 4:32

1.1k

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Polynomial remainder theorem for polynomials over ring

Published on 04 Jun 2017 - 23:18

83

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Why in Euclidean space the distance function (say $f$) has the property that its $|\nabla f|=1$.

Published on 14 Jun 2017 - 19:25

134

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Let $R$ be a euclidean domain, with norm function $N: R^{*} \to N$.

Published on 11 Jul 2017 - 2:46

629

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On the definition of Euclidean domain

Published on 13 Jul 2017 - 15:32

333

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$p$ is prime iff $\langle p\rangle$ is maximal (euclidean ring)

Published on 14 Jul 2017 - 4:30

136

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subtleties in the definition of Euclidean domain.

Published on 16 Jul 2017 - 12:48

115

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Can it be shown that $\|x\|_2 \to \infty \implies \|x - y\|_2 \to \infty$??

Published on 22 Jul 2017 - 4:36

58

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Definition Euclidean domain, condition not necessary

Published on 09 Aug 2017 - 15:17

928

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A Simpler proof for a Principal Ideal Domain which is not a Euclidean Domain

Published on 14 Sep 2017 - 0:26

54

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Prove that $g$ is One to one function if and only if $g$ is Onto

Published on 14 Sep 2017 - 3:08

1.2k

Views

When is $\mathbb Z[\zeta_n]$ a Euclidean Domain?

Published on 18 Sep 2017 - 17:28

List Question

Show that this fractal contains every odd, positive integer

Find the ideal generated by two elements in a Euclidean domain.

how to prove that the ring of algebraic integers of $\mathbb Q(\sqrt {69})$ is a PID or UFD

How does Euclidean Domain imply Unique Factorization domain for Gaussian Integers?

Polynomial remainder theorem for polynomials over ring

Why in Euclidean space the distance function (say $f$) has the property that its $|\nabla f|=1$.

Let $R$ be a euclidean domain, with norm function $N: R^{*} \to N$.

On the definition of Euclidean domain

$p$ is prime iff $\langle p\rangle$ is maximal (euclidean ring)

subtleties in the definition of Euclidean domain.

Can it be shown that $\|x\|_2 \to \infty \implies \|x - y\|_2 \to \infty$??

Definition Euclidean domain, condition not necessary

A Simpler proof for a Principal Ideal Domain which is not a Euclidean Domain

Prove that $g$ is One to one function if and only if $g$ is Onto

When is $\mathbb Z[\zeta_n]$ a Euclidean Domain?

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