Homomorphism : kernel of a field only has 0
34990
Ring homomorphism defined on a field
133660
When can a homomorphism be determined entirely by its generators
120940
An irreducible polynomial in a subfield of $\mathbb{C}$ has no multiple roots in $\mathbb{C}$
50037
Proving that kernels of evaluation maps are generated by the $x_i - a_i$
109080
Is the kernel of a map to a finitely presented module finitely generated?
150961
An example for a homomorphism that is not an automorphism
78412
Representing a countable field by $\Bbb N$ [transport of algebraic structure]
156858
Kernel of powers of a normal operator
131503
Image of dual map is annihilator of kernel
34234
Kernel of injective group homomorphism
26665
When does the kernel of a function equal the image?
92202
Linear separability for a sum of kernel functions
140314
A module as an external direct product of the kernel and image of an idempotent function
59882
is it possible for two fields with the same characteristic to not be isomorphic?
51695
Finding all homomorphisms between $\mathbb{Z}/m\mathbb{Z}$ and $\mathbb{Z}/n\mathbb{Z}$
86174
Finding an isomorphism between these two finite fields
61334
Application of Main Homomorphism Theorem