Algebraic numbers theory
24551
How to prove that the sum and product of two algebraic numbers is algebraic?
145507
Is $K[a,b]=K(a,b)$ for algebraic $a, b$?
4401
Constructive proof that algebraic numbers form a field
96647
Number theory: Problem involving rational numbers
7954
Roots of monic polynomial over a number ring
127029
Ring of formal power series finitely generated as algebra?
123442
Prerequisites for Algebraic Geometry
39114
Prove that a set in $\mathbb R^3$ is not an algebraic set
146446
Infinite Degree Algebraic Field Extensions
78561
Algebraic field extensions: Why $k(\alpha)=k[\alpha]$.
65252
Average of sum of unit roots is an algebraic integer
47670
Algebraic proof of $\sum_{i=0}^k{{n \choose i}{m \choose {k-i}}}= {{m+n}\choose k}$
153295
Algebraic Identity $a^{n}-b^{n} = (a-b) \sum\limits_{k=0}^{n-1} a^{k}b^{n-1-k}$
73352
Subjects studied in number theory
127304
Understanding the algebra of polynomials on a linear space
35105
Density of ring of algebraic integers in $\mathbb C$
126427
Proving $\sqrt{2}+\sqrt[3]{3}$ is algebraic.