Prove this: $\mathbb Z[i]/(1+2i)\simeq\mathbb Z_5$
30172
Why is the order of $\mathbb{Z}[i]/\langle 3+i\rangle$ equal to 10?
91622
Help with proof that $\mathbb Z[i]/\langle 1 - i \rangle$ is a field.
37219
Quadratic Integers in $\mathbb Q[\sqrt{-5}]$
39642
Efficient way to find $[\mathbb{Q}(\sqrt{5}, \sqrt{3}, \sqrt{2}): \mathbb{Q}(\sqrt{3}, \sqrt{2})]$
34252
$ z^n = a_n + b_ni $ Show that $ b_{n+2} - 2b_{n+1} + 5b_n = 0 $ (complex numbers)
155165
Prove that $\mathbb F_8=\mathbb F_2[X]/(X^3+X+1)$
49578
Proving $a\mathbb{Z}\cap b\mathbb{Z}=[a,b]\mathbb{Z}$
62224
Need help with proof for Dedekind cuts on $\mathbb{Q}^+$
150007
Prove that $(\mathbb{Z}_n , +)$, the integers $\pmod{n}$ under addition, is a group.
138258
What is the injective envelope of $\mathbb{Z}/n\mathbb{Z}$?
66313
$\mathbb{Z}[i]/(a+bi) \cong \mathbb{Z}_{a^2+b^2}$ if $(a,b)=1$
73277
Prove $[\sqrt{x}+\sqrt{x+1}]=[\sqrt{4x+2}], x \in \Bbb N$
156356
Proof that $x^n+\frac{1}{x^n}\in \mathbb Z$ by complete induction
87160
Prove $\mathbb{Z}_3[x]/(x^2+1)$ and $\mathbb{Z}_3[x]/(x^2+x-1)$ are isomorphic.
76501
How can we show that $\mathbb Q$ is not a free $\mathbb Z$-module?
149294
How do i prove how $S_5$ is generated by a two cycle and a five cycle?
115976
$\mathbf{Q}[\sqrt 5+\sqrt[3] 2]=\mathbf{Q}[\sqrt 5,\sqrt[3] 2]$?