There is a surjective homomorphism from $\Bbb Z * \Bbb Z$ onto $C_2*C_3$
129162
Show there is a surjective homomorphism from $\mathbb{Z}\ast\mathbb{Z}$ onto $C_2\ast C_3$
55900
Is there a ring homomorphism $M_2(\mathbb Z)\to \mathbb Z$?
97878
Are there uncountably many surjections from $\mathbb N$ to $\mathbb N$?
93169
Show that $(\mathbb Z[x],+)$ and $(\mathbb Q_{>0},\cdot)$ are isomorphic groups
13764
Homomorphisms from $\mathbb{Z} \rightarrow S_3$.
53327
$C_2 \times C_2$ and $C_4$
26661
Ring homomorphisms from $\mathbb{Z}_n$ to $\mathbb{Z}_m$
91222
Isomorphism between $\mathfrak o(4,\mathbb R)$ and $\mathfrak o (3,\mathbb R) \oplus\mathfrak o (3,\mathbb R) $
107163
Proof that $S_3$ isomorphic to $D_3$
18540
Isomorphism from $\mathbb{C}[G]$ to $\prod_{i=1}^h M_{n_i}(\mathbb{C})$.
137011
showing $\psi: R\to \mathbb C$ is ring isomorphism.
61226
Group Structure on $\Bbb R$
67237
Pull back image of maximal ideal under surjective ring homomorphism is maximal
27056
$ gl(2,\mathbb C) \cong sl(2,\mathbb C) \oplus \mathbb C $
40993
Let $f:G\to G'$ be a surjective homomorphism. Prove that if $G$ is cyclic, then $G'$ is cyclic.
136083
Show that $\sigma\circ\phi : G_1 \to G_3$ is an isomorphism
97605
Let $f$ be a surjective homomorphism. Prove that $\ker(f)$ is a maximal ideal