Let $D$ be an integrity domain and $F$ a subfield of $D$.
28313
Intermediate ring between a field and an algebraic extension.
76496
Showing that every field is an integral domain.
117005
Rules in the ring with coefficients in finite field $\mathbb{F}_p$
142336
Why does the integral domain "being trapped between a finite field extension" implies that it is a field?
126127
A field extension of prime degree
132423
Non trivial valuation over a finite extension $F/\mathbb{Q}_p$ is equivalent to the one induced by $v_p$
73652
Exhibiting an isomorphism between two finite fields
113175
Why is the algebraic closure of a finite field countable?
24912
Show that if $fd'=f'd $ and the pairs $f, d $ and $f',d' $ are coprime, then $f=f' $ and $d=d' $.
27167
Ideals in $F[x]$ and Euclidean domains are generated by any element of minimal degree
19178
$f$ continuous, $f^N$ analytic on a domain D implies $f$ analytic on D
135152
Non-UFD integral domain such that prime is equivalent to irreducible?
157420
Question about Subrings and integraly closed
122415
How to show every field is a Euclidean Domain.
75899
Principal ideal domain with finitely many ideals
81550
Linking two theorems: on algebraic closure and on minimal splitting field
6855
Subfields of finite fields