List questions from euclidean-domain

Published on 10 Apr 2026 - 20:32

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

Published on 14 Apr 2026 - 5:24

204

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Prove ring of dyadic rationals is a Euclidean domain

Published on 29 Apr 2026 - 12:56

115

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The units of a Euclidean domain form a group

Published on 29 Apr 2026 - 12:56

39

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Question regarding g.c.d of two polynomials

Published on 29 Apr 2026 - 12:56

79

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

Published on 29 Apr 2026 - 12:56

664

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Find the set of points where two functions are equal

Published on 29 Apr 2026 - 12:56

753

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GCD in arbitrary domain

Published on 15 Apr 2026 - 4:45

136

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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 29 Apr 2026 - 12:56

492

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Norm-Euclidean Domains Division Algorithm

Published on 13 Apr 2026 - 5:45

30

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Taylor's formula in two or more variables

Published on 29 Apr 2026 - 12:56

494

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

Published on 29 Apr 2026 - 12:56

168

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

Published on 29 Apr 2026 - 12:56

67

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

Published on 15 Apr 2026 - 18:55

97

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

Published on 29 Apr 2026 - 12:57

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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