Algebraic independence of functions
135641
Algebraic independence of exponentials
96354
Linear independence of $\sin(x)$, $\sin(2x)$, $\sin(3x)$ in Map($\mathbb{R},\mathbb{R}$)
62058
How to prove $1$,$\sqrt{2},\sqrt{3}$ and $\sqrt{6}$ are linearly independent over $\mathbb{Q}$?
127304
Understanding the algebra of polynomials on a linear space
108156
Algebraic closure of $\mathbb{C}(x)$ is isomorphic to $\mathbb{C}$
99105
Are the functions $\sin^n(x)$ linearly independent?
81895
A generalisation of the fundamental theorem of algebra
139499
The algebraic closure of a finite field and its Galois group
40858
Multiplicative nature of the separability degree
121732
Functional completeness of $\{\text{or},\text{ xor}, \text{ xnor}\}$
152347
Proof that a certain entire function is a polynomial
83173
Prove linear combinations of logarithms of primes over $\mathbb{Q}$ is independent
94077
Proof of linear independence of $e^{at}$
132492
If a linear transformation $T$ has $z^n$ as the minimal polynomial, there is a vector $v$ such that $v, Tv,\dots, T^{n-1}v$ are linearly independent
90691
Linear independence of vectors over larger fields
49896
A criterion for independence based on Characteristic function
121558
Showing that $n$ exponential functions are linearly independent.