What is the difference between $Z/(4)$ and the field $F4$?
76813
The ring $ℤ/nℤ$ is a field if and only if $n$ is prime
6855
Subfields of finite fields
66656
I have to find a splitting field of $x^{6}-3$ over $\mathbb{F}_{7}$
146617
A complete picture of the lattice of subfields for a cyclotomic extension over $\mathbb{Q}$.
137858
Showing that $\mathbb{Z}[i]/I$ is a finite field whenever $I$ is a prime ideal, and also finding its cardinality?
150170
Subrings of fraction fields
85096
Let $K$ be a field and $f(x)\in K[x]$. Prove that $K[x]/(f(x))$ is a field if and only if $f(x)$ is irreducible in $K[x]$.
112556
When is $F(\sqrt c)$ a field?
64179
What is the difference between the standard representants of $\mathbb Z/q\mathbb Z$?
7452
Splitting of primes in the compositum of fields
19884
The units of $\mathbb Z_4[x]$
137610
Finding the field of fractions of a quotient of a polynomial ring.
6827
To identify field $Z[i]/(3)$
46730
How to show $\mathbb{Q}(\alpha^{4})=\mathbb{Q}(\alpha)$?
87467
Finding some missing subfields of a splitting field of $x^4-7$
77854
Which cyclotomic fields are different?
103817
Find splitting field of $x^5-4x+2$ over $\mathbb{Q}$