List questions from euclidean-domain

Published on 26 Mar 2026 - 7:57

77

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find the domain of this function ( [ ] is symbol of floor)

Published on 19 Jul 2018 - 9:26

201

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Prove ring of dyadic rationals is a Euclidean domain

Published on 25 Mar 2026 - 9:26

111

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The units of a Euclidean domain form a group

Published on 31 Jul 2018 - 9:33

35

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Question regarding g.c.d of two polynomials

Published on 22 Mar 2026 - 18:54

76

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For a field $F$, what are the elements of $U(F[x])$?

Published on 26 Mar 2026 - 7:59

661

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Find the set of points where two functions are equal

Published on 26 Mar 2026 - 7:58

750

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GCD in arbitrary domain

Published on 25 Mar 2026 - 12:13

133

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Given $a, b$ coprime integers, show that any factor of $a^2 - 2b^2$ is of the form $c^2 - 2d^2$

Published on 25 Mar 2026 - 4:41

490

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Norm-Euclidean Domains Division Algorithm

Published on 26 Mar 2026 - 7:55

26

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Taylor's formula in two or more variables

Published on 22 Mar 2026 - 10:53

491

Views

Prove $Z[\sqrt{7}]$ is euclidean domain

Published on 25 Mar 2026 - 4:39

163

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Prove that if $u\in \mathbb{Z}[\sqrt{2}]$ (Euclidean domain) is unit, then $v(u)=1$.

Published on 30 Oct 2018 - 4:49

65

Views

Prove for every $i∈\Bbb Z∪{0}$ that $N(b^i)<N(b^{i+1})$ .

Published on 25 Mar 2026 - 3:03

92

Views

When $\mathbb{Q}[\sqrt{n}i]$ and $\mathbb{Z}[\sqrt{n}i]$ normal?

Published on 25 Mar 2026 - 6:01

List Question

Least Euclidean function on $\mathbb{Z}\backslash\{0\}$

find the domain of this function ( [ ] is symbol of floor)

Prove ring of dyadic rationals is a Euclidean domain

The units of a Euclidean domain form a group

Question regarding g.c.d of two polynomials

For a field $F$, what are the elements of $U(F[x])$?

Find the set of points where two functions are equal

GCD in arbitrary domain

Given $a, b$ coprime integers, show that any factor of $a^2 - 2b^2$ is of the form $c^2 - 2d^2$

Norm-Euclidean Domains Division Algorithm

Taylor's formula in two or more variables

Prove $Z[\sqrt{7}]$ is euclidean domain

Prove that if $u\in \mathbb{Z}[\sqrt{2}]$ (Euclidean domain) is unit, then $v(u)=1$.

Prove for every $i∈\Bbb Z∪{0}$ that $N(b^i)<N(b^{i+1})$ .

When $\mathbb{Q}[\sqrt{n}i]$ and $\mathbb{Z}[\sqrt{n}i]$ normal?

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