$\mathbb Z/n\mathbb Z$ and finding non-zero $y,z$ such that $yz =0$
33052
How to prove $\bar{m}$ is a zero divisor in $\mathbb{Z}_n$ if and only if $m,n$ are not coprime
15604
Determine the set of points $z$ that satisfy the condition $|2z|>|1+z^2|$
76501
How can we show that $\mathbb Q$ is not a free $\mathbb Z$-module?
72420
Is $\mathbb{N}$ impossible to pin down?
118452
how to prove $\mathbb Z_n$ has divisors of zero if and only if $n$ is not prime
58021
Finding matrix $B$ is not zero matrix where $AB= 0$
95669
Solutions of $|z| = z^5$ in $\Bbb{C}$?
47809
If $x,y\in\mathbb Z$, solve $x^2+xy+y^2=x^2y^2$.
152613
Injection from $\mathbb{N}\to\{0,1\}$ to the set of all monotonic decreasing functions from $\mathbb{N}\to\mathbb{Z}$
102175
$Z=XY$, $E_Z[Z]$, $E_{X,Y}[XY]$
144789
identify the ring $\mathbb{Z}[x]/(2x-1)$
109764
Find the cardinality of the quotient of $\mathbb R$ in respect to R
137422
$\mathrm{card}(\mathbb{Z}^n/M\mathbb{Z}^n) = |\det(M)|$?
52951
Find all $n \in \mathbb{Z^+}$ such that $\phi(n)=4$
77799
Determine the set of units $(\Bbb Z/n\Bbb Z)^\times$ for different values of $n$
51687
Is the set $ \ (\mathbb{Z}_p \setminus \mathbb{Z}) \cap \mathbb{Q}$ non-empty?
7466
How would I prove that if an integer $n>2$, then $\bar{z}=z^{n-1}$ has $n+1$ solutions