Fields closed up to degree $n$
4192
Non-algebraically closed field in which every polynomial of degree $<n$ has a root
111338
Affine variety over a field which is not algebraically closed can be written as the zero set of a single polynomial
155771
Product of degree of two field extensions of prime degree
128482
The set of subsequential limits is closed
86626
Finite fields, existence of field of order $p^n$,proof help
113742
Nullstellensatz non-valid for non-algebraically closed fields
114152
Intermediate fields between $\mathbb{Z}_2 (\sqrt{x},\sqrt{y})$ and $\mathbb{Z}_2 (x,y)$
14918
Degree of splitting field of $X^n-1$ over some finite field
125568
Construction of $p^n$ field
78117
Closed property of nonempty finite set
71102
Subfields of $\mathbb{C}$ which are connected with induced topology
79725
Fields of arbitrary cardinality
19525
Showing field extension $\mathbb{Q}(\sqrt{2}, \sqrt{3}, \sqrt{5})/\mathbb{Q}$ degree 8
85743
Consequences of Degree Theory
98256
Subfields of $\mathbb{Q}(\sqrt{2},\sqrt{3})$
19511
Is the sub-field of algebraic elements of a field extension of $K$ containing roots of polynomials over $K$ algebraically closed?
139499
The algebraic closure of a finite field and its Galois group