Question

Need help with Euclidean Algorithm in $\mathbb{Z}[i]$

score 338 · Answer 1 · 2018-09-29 23:17:13

338

Views

Need help with Euclidean Algorithm in $\mathbb{Z}[i]$

Published on 29 Sep 2018 - 23:17

score 196 · Answer 2 · 2026-03-19 23:22:21

196

Views

The intersection of set of multiples of a G/E integer and the set of integer

Published on 19 Mar 2026 - 23:22

score 241 · Answer 3 · 2018-10-14 10:51:30

241

Views

Find number of invertible elements in $\mathbb{Z}[i]/(220+55i)\mathbb{Z}[i]$

Published on 14 Oct 2018 - 10:51

score 370 · Answer 4 · 2018-10-30 00:41:07

370

Views

Write $5$ and $6+8i$ as products of irreducible elements in $\mathbb{Z}[i]$.

Published on 30 Oct 2018 - 0:41

score 111 · Answer 5 · 2018-11-03 18:47:29

111

Views

Showing that $\mathbb Z[i]/(p)\simeq \mathbb Z[i]/(\pi)\times\mathbb Z[i]/(\overline\pi )$

Published on 03 Nov 2018 - 18:47

score 287 · Answer 6 · 2018-11-12 14:17:17

287

Views

The number of surjective ring homomorphism from $\mathbb{Z}[i]$ to $\mathbb{F}_{11^2}$.

Published on 12 Nov 2018 - 14:17

score 139 · Answer 7 · 2018-11-19 04:09:10

139

Views

Describing Cosets in $R/A$

Published on 19 Nov 2018 - 4:09

score 184 · Answer 8 · 2018-12-03 08:45:25

184

Views

Homomorphic images of Gaussian Integers

Published on 03 Dec 2018 - 8:45

score 262 · Answer 9 · 2018-12-07 21:18:31

262

Views

Solving the Diophantine equation $y^3 = 4x^2+4x+ 5$ for $x,y \in \mathbb{Z}$

Published on 07 Dec 2018 - 21:18

score 1.6k · Answer 10 · 2026-03-22 22:00:17

1.6k

Views

How to prove $\Bbb Z[i]/(1+2i)\cong \Bbb Z_5$?

Published on 22 Mar 2026 - 22:00

score 78 · Answer 11 · 2019-01-27 14:51:51

78

Views

Show that $ | \mathbb Z[\sqrt{-1}]/(a+b\sqrt{-1}) |=a^2+b^2 $

Published on 27 Jan 2019 - 14:51

score 804 · Answer 12 · 2019-02-11 04:25:50

804

Views

How much of an infinite board can a N-mover reach?

Published on 11 Feb 2019 - 4:25

score 74 · Answer 13 · 2019-02-22 01:52:35

74

Views

Find the values of $a\in \mathbb{Z}[i]$ such that $(2,1)$ and $(2+i,a)$ form a basis of $\mathbb{Z}[i]^2$.

Published on 22 Feb 2019 - 1:52

score 283 · Answer 14 · 2019-03-11 11:01:03

283

Views

Describing the elements of quotient ring of $\mathbb{Z}[\sqrt{D}]$.

Published on 11 Mar 2019 - 11:01

score 247 · Answer 15 · 2019-03-23 12:25:32

247

Views

Seeking elementary proof: For prime $p$ such that $4\mid p -3$, the exponent of $p$ in the prime decomposition of $m^2+n^2$ is even

Published on 23 Mar 2019 - 12:25

List Question

Need help with Euclidean Algorithm in $\mathbb{Z}[i]$

The intersection of set of multiples of a G/E integer and the set of integer

Find number of invertible elements in $\mathbb{Z}[i]/(220+55i)\mathbb{Z}[i]$

Write $5$ and $6+8i$ as products of irreducible elements in $\mathbb{Z}[i]$.

Showing that $\mathbb Z[i]/(p)\simeq \mathbb Z[i]/(\pi)\times\mathbb Z[i]/(\overline\pi )$

The number of surjective ring homomorphism from $\mathbb{Z}[i]$ to $\mathbb{F}_{11^2}$.

Describing Cosets in $R/A$

Homomorphic images of Gaussian Integers

Solving the Diophantine equation $y^3 = 4x^2+4x+ 5$ for $x,y \in \mathbb{Z}$

How to prove $\Bbb Z[i]/(1+2i)\cong \Bbb Z_5$?

Show that $ | \mathbb Z[\sqrt{-1}]/(a+b\sqrt{-1}) |=a^2+b^2 $

How much of an infinite board can a N-mover reach?

Find the values of $a\in \mathbb{Z}[i]$ such that $(2,1)$ and $(2+i,a)$ form a basis of $\mathbb{Z}[i]^2$.

Describing the elements of quotient ring of $\mathbb{Z}[\sqrt{D}]$.

Seeking elementary proof: For prime $p$ such that $4\mid p -3$, the exponent of $p$ in the prime decomposition of $m^2+n^2$ is even

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