Extending a homomorphism of a ring to an algebraically closed field
131143
Homomorphism extensions over finite ring extensions
99567
Proving that an inverse ring homomorphism of an ideal is an ideal?
143429
Kernel of ring homomorphism $k[X,Y] \rightarrow k[t^2, t^3]$
82328
Constructing a Galois extension field with Galois group $S_n$
129858
"Almost" ring homomorphism
80295
Field extensions and algebraic/transcendental elements
123419
Abstract algebra: homomorphism and an element of a prime order
64025
Ring homomorphisms from $\Bbb Q$ into a ring
158525
Given a field, the field of algebraic elements over it in an algebraically closed field extension is again algebraically closed?
32172
Homomorphisms of graded modules
61429
Is the algebraic closure of a $p$-adic field complete
78222
Can any monomorphism of a subfield of a splitting field be extended to an automorphism?
143219
If a field $F$ is an algebraic extension of a field $K$ then $(F:K)=(F(x):K(x))$
139499
The algebraic closure of a finite field and its Galois group
149856
Image of ring homomorphism is a subring
56551
Multiplicative group of field extension over base field
103654
A finite field extension that is not simple