A surjective ring homomorphism $\phi : C([0,1]) \rightarrow \mathbb{R}$ is evaluation at a point
112131
Characterizing all ring homomorphisms $C[0,1]\to\mathbb{R}$.
40678
Image of an ideal under a surjective ring homomorphism is an ideal
38033
A surjective linear map into a finite dimensional space is open
64025
Ring homomorphisms from $\Bbb Q$ into a ring
30327
$\ker \phi = (x_1-a_1, ..., x_n-a_n)$ for a ring homomorphism $\phi: R[x_1, ..., x_n] \to R$
146306
A continuous surjective function from $(0,1]$ onto $[0,1]$
6023
Surjectivity of Composition of Surjective Functions
48818
Homomorphism of local rings
73689
A question about the equivalence relation on the localization of a ring.
93632
Existence of a ring homomorphism implies characteristic divisibility
106550
The bijection between homogeneous prime ideals of $S_f$ and prime ideals of $(S_f)_0$
97009
Image of ring homomorphism $\phi : \mathbb{Z}[t] \to \mathbb{Q}$?
123419
Abstract algebra: homomorphism and an element of a prime order
68728
Why does the natural ring homomorphism induce a surjective group homomorphism of units?
134104
Is there a Cantor-Schroder-Bernstein statement about surjective maps?
121244
Homomorphisms and automorphisms on polynomial rings
13764
Homomorphisms from $\mathbb{Z} \rightarrow S_3$.