Equal homomorphism on Z implies equal homomorphism on Q
82559
Showing two ring homomorphisms that agree on the integers must agree on the rationals
61334
Application of Main Homomorphism Theorem
99567
Proving that an inverse ring homomorphism of an ideal is an ideal?
45576
A surjective homomorphism between finite free modules of the same rank
48818
Homomorphism of local rings
88930
Homomorphism between free groups
41035
Mapping that proves $\mathbb{Z} \subset \mathbb{Q}$
1026
Ring homomorphism with $\phi(1_R) \neq1_S$
83710
Order of a homomorphism of groups
123419
Abstract algebra: homomorphism and an element of a prime order
131143
Homomorphism extensions over finite ring extensions
40383
Is it true that $|g| = |\phi(g)|$ for all homomorphisms $\phi: G \to G$ and $g \in G$?
129858
"Almost" ring homomorphism
54911
The preimage of a normal subgroup under a group homomorphism is normal
89415
Number of homomorphisms from $(\mathbb Q^+ , \,\cdot\,)$ to $(\mathbb Z_n , +)$
53531
Birational and faithfully flat $\implies$ isomorphism
93169
Show that $(\mathbb Z[x],+)$ and $(\mathbb Q_{>0},\cdot)$ are isomorphic groups