finite extension but not algebraic exetension
111444
Is any finite-dimensional extension of a field, say $F$, algebraic and finitely generated?
7567
Degree of Field Extensions and $F(\alpha)$
28803
Extension of degree 2 with characteristic not 2
63390
Infinite algebraic extensions of $\mathbb{Q}$
20218
Is this field extension finite?
143138
All models of $\mathsf{ZFC}$ between $V$ and $V[G]$ are generic extensions of $V$
74681
A finite extension with finitely many intermediate fields is simple
87534
Finitely generated group which is not finitely presented
76749
Example of a finite non-commutative ring without a unity
25685
What is the product of all nonzero, finite cardinals?
67157
Example of an non-normal inseparable field extension
157499
Every finite extension of a finite field is separable
109039
Does this "extension property" for polynomial rings satisfy a universal property?
132423
Non trivial valuation over a finite extension $F/\mathbb{Q}_p$ is equivalent to the one induced by $v_p$
139288
Formal proof that $e^x$ is not algebraic
64068
Is every finite Galois extension of $\mathbb{Q}_p$ the completion of a number field at some valuation?
78117
Closed property of nonempty finite set