Comfirmation of Existence of finite field
46795
Explicit construction of a finite field with $p^n$ elements
80879
Can a quotient field ever be finitely generated as an algebra?
68753
Elements in finite field extensions
7567
Degree of Field Extensions and $F(\alpha)$
151018
Proving that any finite integral domain is a field.
137858
Showing that $\mathbb{Z}[i]/I$ is a finite field whenever $I$ is a prime ideal, and also finding its cardinality?
121141
Proving Finiteness of Group from Presentation
115129
Constructing an explicit isomorphism between finite extensions of finite fields
76790
Condition to guarantee $f=0$ on $[a,b]$
111444
Is any finite-dimensional extension of a field, say $F$, algebraic and finitely generated?
13656
Prove existence of a real root.
79725
Fields of arbitrary cardinality
94413
Proving Dedekind finite implies finite assuming countable choice
116955
Showing the existence of a certain kind of extension of a finitely generated algebra
127200
Are there fields and ordered fields of every infinite cardinality?
53432
What is the algebraic closure of $\mathbb F_q$?
157499
Every finite extension of a finite field is separable