Find all equivalence classes of $ab\equiv (0 \mod 5)$ for $a$ and $b$ modulo 5
31312
If a prime divides a product then it must divide a factor of the product [Euclid's Lemma]
86174
Finding an isomorphism between these two finite fields
6332
If $p\equiv1\mod{4}$, then $p=a^{2}+b^{2}$ where a and b are uniquely determined
150064
Cardinality of "$x-y\in\Bbb Q$"-equivalence class of $1/\sqrt2$
46780
Proving $((a\bmod n) (b\bmod n))\bmod n = ab\bmod n $
152306
Finding homomorphisms from $\mathbb Z_{12}$ to $\mathbb Z_{6}$.
29231
Proof of : $x^{n}\equiv x^{\varphi(m)+[n \bmod \varphi(m)]} \mod m$
57691
calculate (find the type of isomorphism) of $\mathbb Z_p/p\mathbb Z_p$ where p is prime
110018
Conjugacy classes in $A_n$.
18767
How do you find the modular inverse of $5\pmod{\!11}$
62455
Prove Equivalence Relation in G
66708
Elementary isomorphism between $\operatorname{PSL}(2,5)$ and $A_5$
17032
If $ab=ba$, Prove $a^2$ commutes with $b^2$
11989
$ac\equiv bc \pmod{\!m}\!\!\iff\!\! a\equiv b \pmod{\!\!\frac{m}{(c,m)}}$ [Euclid's Lemma, congruence form]
17978
Isomorphism classes of $\mathbb{Z}[i]$ modules.
91222
Isomorphism between $\mathfrak o(4,\mathbb R)$ and $\mathfrak o (3,\mathbb R) \oplus\mathfrak o (3,\mathbb R) $
60140
Proof of Equivalence Relation $R=\{(a,b)\in\Bbb N^2: 5\mid (2a+3b)\}$