Show that there exists a ring homomorphism $f: Z/(m)\rightarrow Z/(n)$ sending 1 to 1 if and only if $n|m$.
26661
Ring homomorphisms from $\mathbb{Z}_n$ to $\mathbb{Z}_m$
126930
Finding all group homomorphisms of $S_n\to\mathbb{C}^*$ and $A_n\to\mathbb{C}^*$
51695
Finding all homomorphisms between $\mathbb{Z}/m\mathbb{Z}$ and $\mathbb{Z}/n\mathbb{Z}$
32428
Group homomorphisms and which of the following statements are true (NBHM-$2014$)
40678
Image of an ideal under a surjective ring homomorphism is an ideal
62454
Let $f : G → G_1$ be a surjective homomorphism (also called epimorphism) from $G$ to another group $G_1$. Prove that $f(Z(G)) \subseteq Z(G_1)$.
148616
When is a ring homomorphism $A \to A$ surjective but not injective.
6171
Isomorphism between $\Bbb{Z}[\sqrt{d}]$ and a quotient of $\Bbb{Z}[X].$
129162
Show there is a surjective homomorphism from $\mathbb{Z}\ast\mathbb{Z}$ onto $C_2\ast C_3$
22995
Let f:G to H be 1-1 homomorphism show that order of f(a) divides the order of G.
34599
Number of ring homomorphisms from $\mathbb Z_{12}$ to $\mathbb Z_{28}$.
158282
Finite order of an element $f(g)$ of a homomorphism $f$
16602
Proving $M_n(I)\lhd M_n(R)$ and proofs about ideal rings.
75315
How to prove that homomorphism from field to ring is injective or zero?
118073
Is the ring $m\mathbb{Z}$ isomorphic to the ring $n\mathbb{Z}$?
121244
Homomorphisms and automorphisms on polynomial rings
97608
Showing a Ring of endomorphisms is isomorphic to a Ring