How do we define $\frac{\mathbb{Z}}{p\mathbb{Z}}$ for any $p\in \mathbb{N}$?
16559
Difference between $\mathbb{Z}/n\mathbb{Z}$ and $\mathbb{Z}_n$
58717
Why isn't $\mathbb Z [\sqrt{pq}]$ a factorial domain
10861
Let$\ p_n$ be the$\ n$-th prime. Can you give me a proof for$\ \prod_{i=1}^\infty \frac{p_i-1}{p_i}=P\approx \frac{1}{11.0453}$?
35691
$\mathbb Z[\sqrt 3]$ contains infinitely many units
92211
When are $\mathbb Z_m$ and $\mathbb Z_n$ homomorphic?
143069
What are the direct summands in $\mathbb{Z}^n$?
156356
Proof that $x^n+\frac{1}{x^n}\in \mathbb Z$ by complete induction
148550
Units in quotient ring of $\mathbb Z[X]$
83001
Easier way to show $(\mathbb{Z}/(n))[x]$ and $\mathbb{Z}[x] / (n)$ are isomorphic
50934
Let $x_n \in[0,1)$ s.t $x_n - \sqrt{n}\in \mathbb{Z}$. Prove that $X=\{x_n | n\in \mathbb{N}\}$ is dense in $[0,1]$.
144836
How to prove that $\frac{(mn)!}{m!(n!)^m}$ is an integer?
51687
Is the set $ \ (\mathbb{Z}_p \setminus \mathbb{Z}) \cap \mathbb{Q}$ non-empty?
57691
calculate (find the type of isomorphism) of $\mathbb Z_p/p\mathbb Z_p$ where p is prime
80551
Find Units in $\mathbb{Z}[\sqrt{n}]$
122312
How can I compute $\mathrm{Aut}(\mathbb{Z}/4\mathbb{Z}\times\mathbb{Z}/6\mathbb{Z})$?
156941
Subgroups of $\mathbb{Z}$
77903
Finding the integral closure of $\mathbb{Z}$ in $\mathbb{Q}[i]$