Surjection of ring homomorphism give surjection of group of units?
642
Does a surjective ring homomorphism have to be surjective on the unit groups?
126930
Finding all group homomorphisms of $S_n\to\mathbb{C}^*$ and $A_n\to\mathbb{C}^*$
148550
Units in quotient ring of $\mathbb Z[X]$
83710
Order of a homomorphism of groups
67237
Pull back image of maximal ideal under surjective ring homomorphism is maximal
32772
Proving units in a ring
97605
Let $f$ be a surjective homomorphism. Prove that $\ker(f)$ is a maximal ideal
26661
Ring homomorphisms from $\mathbb{Z}_n$ to $\mathbb{Z}_m$
131946
Order of an Element Under a Homomorphism
148616
When is a ring homomorphism $A \to A$ surjective but not injective.
84132
Number of preimages of a group element under a homomorphism.
99567
Proving that an inverse ring homomorphism of an ideal is an ideal?
138383
group of units in a topological ring
87946
Proving that the unities of a ring form a group under multiplication
55900
Is there a ring homomorphism $M_2(\mathbb Z)\to \mathbb Z$?
144442
Let $R$ be a commutative unital ring. Is it true that the group of units of $R$ is not isomorphic with the additive group of $R$?
2153
How to get a homomorphism from $\mathbb{Z}\to G$, for $G$ a non-trivial group?