List questions from quadratic-integer-rings

Published on 22 Feb 2026 - 20:46

160

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Relatively Prime Integers Still Prime in Quadratic Fields

Published on 14 May 2018 - 8:06

99

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Factoring an integer over quadratic ring

Published on 02 Jun 2018 - 1:21

411

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Recognizing Principal Ideals

Published on 02 Jun 2018 - 2:08

90

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How to interpret action of $SL_2(\mathcal{O}_d)$

Published on 25 Dec 2018 - 6:23

274

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How to approximate real numbers using members of $\mathbb Z (\sqrt d)$?

Published on 08 Feb 2019 - 3:48

128

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Counting number of ideals in quadratic number field

Published on 13 Apr 2019 - 15:59

172

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For prime quadratic integer $\pi$, $x \equiv 1$ (mod $\pi$), Show $x^2 \equiv1$ (mod $\pi^2$) and $x^3 \equiv 1$ (mod $\pi^3$) is not always true.

Published on 20 May 2019 - 21:05

393

Views

Good reference book for quadratic integer rings?

Published on 30 Oct 2014 - 17:57

407

Views

Show $\mathbb{Z}_{(p)} [ \sqrt{D}]$ is a UFD

Published on 15 Oct 2019 - 7:55

268

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Prime and Maximal Ideals of $\mathbb{Z}[\sqrt{-10}]$

Published on 09 Apr 2020 - 11:49

48

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Quadratic Integer Ring $\mathbb{Z}[\sqrt{-14}]$, show that $7+\sqrt{-14} \notin (7)$

Published on 01 May 2020 - 14:26

227

Views

Quadratic Integer Ring $A=\mathbb{Z}[\sqrt{-14}]$, show that $7$ is irreducible in A.

Published on 01 May 2020 - 15:22

52

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Quadratic Integer Ring mod p - Field?

Published on 02 Jun 2020 - 15:45

165

Views

Solving $n(4n+3)=2^m-1$ in positive integers

Published on 15 Jul 2020 - 20:08

List Question

Prove that $\langle 2,1+\sqrt{-5} \rangle ^ 2 \subseteq \langle 2 \rangle$

Relatively Prime Integers Still Prime in Quadratic Fields

Factoring an integer over quadratic ring

Recognizing Principal Ideals

How to interpret action of $SL_2(\mathcal{O}_d)$

How to approximate real numbers using members of $\mathbb Z (\sqrt d)$?

Counting number of ideals in quadratic number field

For prime quadratic integer $\pi$, $x \equiv 1$ (mod $\pi$), Show $x^2 \equiv1$ (mod $\pi^2$) and $x^3 \equiv 1$ (mod $\pi^3$) is not always true.

Good reference book for quadratic integer rings?

Show $\mathbb{Z}_{(p)} [ \sqrt{D}]$ is a UFD

Prime and Maximal Ideals of $\mathbb{Z}[\sqrt{-10}]$

Quadratic Integer Ring $\mathbb{Z}[\sqrt{-14}]$, show that $7+\sqrt{-14} \notin (7)$

Quadratic Integer Ring $A=\mathbb{Z}[\sqrt{-14}]$, show that $7$ is irreducible in A.

Quadratic Integer Ring mod p - Field?

Solving $n(4n+3)=2^m-1$ in positive integers

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