A ring homomorphism over rational numbers is the identity
6825
If $f: \mathbb Q\to \mathbb Q$ is a homomorphism, prove that $f(x)=0$ for all $x\in\mathbb Q$ or $f(x)=x$ for all $x$ in $\mathbb Q$.
39576
Quotient ring being isomorphic to the initial ring
90192
Kernel and Image of a group homomorphism
97608
Showing a Ring of endomorphisms is isomorphic to a Ring
157915
Isomorphism between the group $(\mathbb Z[x], +)$ and $(\mathbb Q_{>0}, .)$
124672
Let $f:R\rightarrow S$ be a ring homomorphism. Prove or disprove: if $f$ is onto and $R$ is an integral domain, then $S$ is an integral domain
84114
Does there exist a surjective homomorphism from $(\mathbb R,+)$ to $(\mathbb Q,+)$ ?
63447
Prove that the kernel of a homomorphism is a principal ideal. (Artin, Exercise 9.13)
151993
Ring homomorphisms $\mathbb Z[x]\rightarrow \mathbb Q$
89415
Number of homomorphisms from $(\mathbb Q^+ , \,\cdot\,)$ to $(\mathbb Z_n , +)$
143831
Showing $\mathbb{Q}$ is homeomorphic to $\mathbb{Q}^2$
106178
Question of an isomorphism of $\epsilon_ 0$ and a subset of the rationals.
5906
All group homomorphism from $ \mathbb{Z} _m $ to $\mathbb{Z}_n $
75315
How to prove that homomorphism from field to ring is injective or zero?
27670
Group homomorphisms $\mathbb{Q}\to\mathbb{R}$
5699
The number of ring homomorphisms from $\mathbb{Z}_m$ to $\mathbb{Z}_n$
91129
Can there be an onto homomorphism from a ring without unity to a ring with unity?