$K/F$ of degree $n \implies$ There is a ring homomorphism of $K$ into $F^{n\times n}$
25793
Extension fields isomorphic to fields of matrices
27728
Question on a homomorphism of a set G.
149849
Let $F$ be a field and $f: \mathbb{Z} \to F$ be a ring epimorphism.
97605
Let $f$ be a surjective homomorphism. Prove that $\ker(f)$ is a maximal ideal
67772
How to find $k$ such that $(\mathbb{Z} \times \mathbb{Z})/ \langle (m,n)\rangle \cong \mathbb{Z} \times \mathbb{Z}_k$
5906
All group homomorphism from $ \mathbb{Z} _m $ to $\mathbb{Z}_n $
154847
homomorphism from $S_3$ to $\mathbb Z/3\mathbb Z$
157378
On an injective ring homomorphism from the ring of continuous functions to the ring of differentiable functions
22604
Can $R \times R$ be isomorphic to $R$ as rings?
108691
Characterize the natural numbers $n$ such that there is a surjective group homomorphism from $S_n$ to $S_{n-1}$.
68728
Why does the natural ring homomorphism induce a surjective group homomorphism of units?
121244
Homomorphisms and automorphisms on polynomial rings
75315
How to prove that homomorphism from field to ring is injective or zero?
55393
Existence of a group isomorphism between $(\mathbb K,+)$ and $(\mathbb K^\times,\cdot)$
111743
In a ring homomorphism we always have $f(1)=1$?
129858
"Almost" ring homomorphism
69728
If $f$ divides $g$ in $S[x]$, show that $f$ divides $g$ in $R[x]$ for $R$ a sub-ring of $S$.