If L is module-finite over K, and K ⊂ R ⊂ L, then R is a field
28313
Intermediate ring between a field and an algebraic extension.
24919
$\mathbb{Q}(\zeta_{10}) $ degree of field extension over $\mathbb{Q}$
147157
Modules over commutative rings
37570
$M + N$ and $M \cap N$ are finitely generated $A$-modules implies $M$ and $N$ finitely generated using exact sequences
141410
Injective integral domains are fields
11698
$M /K \land L /K$ algebraic $\implies ML/K$ algebraic?
144122
A problem about an $R$-module that is both injective and projective.
158590
Why is it that if $[L:K]$ is finite, then $[L:K]$ is algebraic?
14259
If M+N and M$\cap$N are finitely generated modules, so are M and N.
143219
If a field $F$ is an algebraic extension of a field $K$ then $(F:K)=(F(x):K(x))$
8623
Finite subgroups of the multiplicative group of a field are cyclic
58640
$R$ is an algebra over an infinite field. If $\exists$ ideals s.t. $J\subseteq \bigcup_{k=1}^nI_k$ then $J\subseteq I_k$ for some $k$
119305
Is the splitting field equal to the quotient $k[x]/(f(x))$ for finite fields?
149849
Let $F$ be a field and $f: \mathbb{Z} \to F$ be a ring epimorphism.
157499
Every finite extension of a finite field is separable
15137
Does $IJ=IK\implies J=K$ always hold for integral domain and finitely generated nonzero ideal $I$?
34990
Ring homomorphism defined on a field