Is there an algebraic $a$ such that $\ln(a)$ is algebraic other than 1?
39771
Is the natural log of n rational?
69264
Is there an irrational number $a$ such that $a^a$ is rational?
18125
Counterexamples to the converse to Lagrange's Theorem different from $A_{4}$.
32929
Questions about proving $\lnot \lnot a = a$
121663
If $a$ is a zero divisor of $\mathbb{F}$, then does $a$ fail to have a multiplicative inverse?
52212
If $\alpha$ is an algebraic element and $L$ a field, does the polynomial ring $L[\alpha]$ is also a field?
88474
$\mathbb{A}^{2}$ not isomorphic to affine space minus the origin
10998
Embedding $S_n$ in $A_{2n}$
18465
Sum and product of two transcendental numbers can't be both algebraic
141156
The domain of $\ln(x)^{\ln(x)}$
158511
"Non-linear" algebra
15416
A weak converse of $AB=BA\implies e^Ae^B=e^Be^A$ from "Topics in Matrix Analysis" for matrices of algebraic numbers.
143541
Decomposition of an algebraic number into a sum or product of algebraic numbers with smaller degree
158730
Is $\ln(\ln(n))$ irrational for any integer $n>1$?
93111
Finiteness of the Algebraic Closure
53432
What is the algebraic closure of $\mathbb F_q$?
118874
If $v$ is algebraic over $K(u)$, for some $u\in F$, and $v $ is transcendental over $K$, then $u$ is algebraic over $K(v)$