How to prove $\Bbb Z[i]/(1+2i)\cong \Bbb Z_5$?
6121
Quotient ring of Gaussian integers
33455
Question on group homomorphisms involving the standard Z-basis
98587
$\mathbb Z [X] / (X)$ isomorphic to $\mathbb Z[X] / (X+1)$ isomorphic to $\mathbb Z [X] / (X+2015)$
134687
Is there a more elegant way of proving $\langle (1,2)(3,4), (1,2,3,4,5) \rangle = A_5$
67772
How to find $k$ such that $(\mathbb{Z} \times \mathbb{Z})/ \langle (m,n)\rangle \cong \mathbb{Z} \times \mathbb{Z}_k$
30752
Proof of $(\mathbb{Z}/m\mathbb{Z}) \otimes_\mathbb{Z} (\mathbb{Z} / n \mathbb{Z}) \cong \mathbb{Z}/ \gcd(m,n)\mathbb{Z}$
8977
Showing $x^{5}-ax-1\in\mathbb{Z}[x]$ is irreducible
6171
Isomorphism between $\Bbb{Z}[\sqrt{d}]$ and a quotient of $\Bbb{Z}[X].$
76100
Showing that $\left\langle a,b \mid abab^{-1}\right\rangle \cong \pi_1(K) \cong \left\langle c,d \mid c^2 d^2 \right\rangle$
9794
Quotient ring of Gaussian integers $\mathbb{Z}[i]/(a+bi)$ when $a$ and $b$ are NOT coprime
148101
Basis for $\mathbb{Z}^2$
126859
$\Bbb Z^\ast$ What is this notation?
16172
My proof of $I \otimes N \cong IN$ is clearly wrong, but where have I gone wrong?
5526
Prove that $ℤ[i]^*= \{1,-1,i,-i\}$
149294
How do i prove how $S_5$ is generated by a two cycle and a five cycle?
37219
Quadratic Integers in $\mathbb Q[\sqrt{-5}]$
60777
Prove $\, a_1 \Bbb Z \cap \dotsb \cap a_r \mathbb{Z} = {\rm lcm}(a_1, \ldots, a_r) \Bbb Z$