Prove $\mathbb{Z[i]}/(1+4i) \cong \mathbb{Z_{17}}$
6121
Quotient ring of Gaussian integers
124230
What is $\operatorname{Hom}_\mathbb{Z}(\mathbb{Q}/\mathbb{Z},\mathbb{Q}/\mathbb{Z})$?
3203
Quotient group $\mathbb Z^n/\ \text{im}(A)$
20097
Cardinality of the quotient ring $\mathbb{Z}[x]/(x^2-3,2x+4)$
34424
Determining ring of integers for $\mathbb{Q}[\sqrt{17}]$
18018
Proving that $4 \mid m - n$ is an equivalence relation on $\mathbb{Z}$
118918
Understanding a proof that $2x + 3y$ is divisible by $17$ iff $9x + 5y$ is divisible by $17$
77903
Finding the integral closure of $\mathbb{Z}$ in $\mathbb{Q}[i]$
122312
How can I compute $\mathrm{Aut}(\mathbb{Z}/4\mathbb{Z}\times\mathbb{Z}/6\mathbb{Z})$?
137285
Prove $\mathbb{Z}_2 \times \mathbb{Z}_2$ is not isomorphic to $\mathbb{Z}_4$
78852
If $\gcd(m,n) =1, $ then $m\mathbb{Z}/ mn\mathbb{Z} \cong \mathbb{Z}/(n)$
108775
Identify the ring $\mathbb {Z}[i]/(2 + i) $
154305
Let $\pi$ denote a prime element in $\mathbb Z[i], \pi \notin \mathbb Z, i \mathbb Z$. Prove that $N(\pi)=2$ or $N(\pi)=p$, $p \equiv 1 \pmod 4$
17191
How to verify $H\otimes K \cong \bigoplus\limits_{i\in I}H$
48585
Proving that if $G/Z(G)$ is cyclic, then $G$ is abelian
41069
Justifying $\,\Bbb{Z}[i]/\langle 2\rangle\cong \Bbb{Z}[X]/\langle X^2+1,2\rangle\cong \Bbb{F}_2[X]/\langle X^2+1\rangle$
80658
Prove that the number $19\cdot8^n+17$ is not prime, $n\in\mathbb{Z}^+$