Does a ring isomorphism preserves the structure of a field?
134458
Isomorphisms preserving integral domains and fields
81844
How would you show that field automorphisms fix prime subfields?
73652
Exhibiting an isomorphism between two finite fields
47114
What is necessary and/or sufficient for polynomials to provide isomorphic quotient rings?
38817
Why is the ring of matrices over a field simple?
97608
Showing a Ring of endomorphisms is isomorphic to a Ring
129858
"Almost" ring homomorphism
18048
Easy criteria to determine isomorphism of fields?
99567
Proving that an inverse ring homomorphism of an ideal is an ideal?
78350
When does a finite ring become a finite field?
73689
A question about the equivalence relation on the localization of a ring.
30327
$\ker \phi = (x_1-a_1, ..., x_n-a_n)$ for a ring homomorphism $\phi: R[x_1, ..., x_n] \to R$
115129
Constructing an explicit isomorphism between finite extensions of finite fields
67237
Pull back image of maximal ideal under surjective ring homomorphism is maximal
112131
Characterizing all ring homomorphisms $C[0,1]\to\mathbb{R}$.
83744
is there a property of a category that is preserved by category isomorphism, but not equivalence?
642
Does a surjective ring homomorphism have to be surjective on the unit groups?