Prove that $(\mathcal P(X), \Delta, \cap)$ is isomorphic to $(F, +, \cdot)$
23521
Power Set of $X$ is a Ring with Symmetric Difference, and Intersection
13732
$||f||_p\to ||f||_\infty$ under general assumptions
50130
$\operatorname{Aut}(V)$ is isomorphic to $S_3$
98913
Sign in $\Delta U= -\int\vec{F}\cdot d\vec{l}$
11710
How to show that $\mathbb{Q}$ is not $G_\delta$
55393
Existence of a group isomorphism between $(\mathbb K,+)$ and $(\mathbb K^\times,\cdot)$
141911
Prove that these two fields are isomorphic.
93169
Show that $(\mathbb Z[x],+)$ and $(\mathbb Q_{>0},\cdot)$ are isomorphic groups
57639
Show there exists an $\alpha\in F_{p^n}$ such that $\alpha +\alpha^p+\alpha^{p^2}+\cdots+\alpha^{p^{n-1}}\neq 0$
107163
Proof that $S_3$ isomorphic to $D_3$
93118
How to show that if two integral domains are isomorphic, then their corresponding field of quotients are isomorphic?
45179
When does the isomorphism $G\simeq \ker(\phi)\times \operatorname{im}(\phi)$? hold?
41505
Transcendental Extensions. $F(\alpha)$ isomorphic to $F(x)$
157426
Proving that:$\int_X f_n g \, d\mu \to \int_X fg \, d\mu$ for all $g$ in $\mathscr{L}^q (X)$
66535
How to prove $P(A\cap B)\geqslant P(A)+P(B)-1$?
81112
Proving that the dual of the $\mathcal{l}_p$ norm is the $\mathcal{l}_q$ norm.
138069
Proof that $\bigcap_{a\in A} \bigg(\, \bigcup_{b\in B} F_{a,b} \, \bigg) = \bigcup_{f\in ^AB} \bigg(\, \bigcap_{a \in A} F_{a,f(a)}\,\bigg) $