surjective homomorphism between principal ideal rings
49948
If every ideal is principal show the same is true for the image of a homomorphism.
5802
Proving the universal mapping property for polynomial rings
64025
Ring homomorphisms from $\Bbb Q$ into a ring
115088
Surjective morphism of affine varieties and dimension
642
Does a surjective ring homomorphism have to be surjective on the unit groups?
110984
Ideals and prime ideals in a commutative ring.
158892
Surjective endomorphism of abelian group is isomorphism
45576
A surjective homomorphism between finite free modules of the same rank
72230
Equivalence of definitions of prime ideal in commutative ring
32172
Homomorphisms of graded modules
1026
Ring homomorphism with $\phi(1_R) \neq1_S$
133975
Localising a polynomial ring and non-maximal prime ideal
129858
"Almost" ring homomorphism
51695
Finding all homomorphisms between $\mathbb{Z}/m\mathbb{Z}$ and $\mathbb{Z}/n\mathbb{Z}$
26661
Ring homomorphisms from $\mathbb{Z}_n$ to $\mathbb{Z}_m$
109691
When are kernels of homomorphisms on $\mathbb{Z}[x]$ principal ideals, and what does this have to do with Gauss's lemma?
61383
How do I see that every left ideal of a square matrix ring over a field is principal?