Extension of Fundamental Theorem of Algebra
128998
Relation between real roots of a polynomial and real roots of its derivative
21578
Showing the minimal polynomial for an element in an extension field is the same as the minimal polynomial of a linear transformation.
15626
Relations of a~b iff b = ak^2
100134
Proving existence of a surjection $2^{\aleph_0} \to \aleph_1$ without AC
145039
Algebraic independence over $\overline{\mathbb Q}$ and over $\mathbb Q$
115502
Analogue of the Cantor-Bernstein-Schroeder theorem for general algebraic structures
55070
Fundamental group of complement of $n$ lines through the origin in $\mathbb{R}^3$
73669
Totally real Galois extension of given degree
144211
a second course in abstract algebra
18198
Lang Algebra Chapter 6 Theorem 9.4
38489
Degree of the extension $\mathbb{Q}(\sqrt{a+\sqrt{b}})$ over $\mathbb{Q}$
119999
A property of every real polynomial.
56551
Multiplicative group of field extension over base field
56420
Is $\mathbb{Q}(\sqrt[3]{3}, \sqrt[4]{3})$ a Galois extension of $\mathbb{Q}$
1060
Minimal polynomial of intermediate extensions under Galois extensions.
25260
Extension of a morphism $k^*\rightarrow X$ to $\mathbb{P}^1\rightarrow \overline{X}$
103948
Minimal polynomial is invariant under field extensions