A simple question about normal closure of field extensions.
43584
Separability and normal closure
120943
Galois field extension and number of intermediate fields
92677
Infinite algebraic extension of a finite field
140474
Why is Ext$(-;k) =0$ when $k$ is a field
74663
Is $\mathbb{R}$ an algebraic extension of some proper subfield?
57283
Extending Homomorphism into Algebraically Closed Field
31142
Why does $K \leadsto K(X)$ preserve the degree of field extensions?
16643
A slick proof that a field which is finitely generated as a ring is finite
19511
Is the sub-field of algebraic elements of a field extension of $K$ containing roots of polynomials over $K$ algebraically closed?
21578
Showing the minimal polynomial for an element in an extension field is the same as the minimal polynomial of a linear transformation.
113175
Why is the algebraic closure of a finite field countable?
129597
Is a field perfect iff the primitive element theorem holds for all extensions, and what about function fields
27689
Separability over intersection of intermediate fields
14270
Polynomial divisibility is unchanged by coeff. field extension
24168
A characterisation of quadratic extensions contained in cyclic extensions of degree 4
48093
Irreducible polynomial in field extension
158924
Example of composition of two normal field extensions which is not normal.