How to extend a basis to a Hamel basis
51313
Extension of linearly independent set to a basis in an infinite dimensional vector space
59929
Why is $(e_n)$ not a basis for $\ell_\infty$?
22890
Is it coherent to extend $\mathbb{R}$ with a reciprocal of $0$?
14550
Every Hilbert space has an orthonomal basis - using Zorn's Lemma
52596
A basis for $k(X)$ regarded as a vector space over $k$
154117
Showing $[(fg)h]_n = [f(gh)_n]$ in the linear algebra $F^\infty$
134840
Generators and relations for $\text{PSL}(2, \mathbb{F}_q)$
19285
simplifying $ (h^2_2-h^2_3)\over ({1\over h_3})-({1\over h_2})$
120766
Prove ${y_n}$ is a basis for a Hilbert space $H$.
12698
Orthonormal basis for $\mathcal{L}^2([0,1])$
62484
Proving Hartshorne's Exercise I-1.9 by using exercise I-1.8
106284
Establishing a Basis for $F[x]/(f(x))$
135611
Extensions of $\mathbb{Z}$ by $\mathbb{Z}$
61718
Can a basis for a vector space be made up of matrices instead of vectors?
41069
Justifying $\,\Bbb{Z}[i]/\langle 2\rangle\cong \Bbb{Z}[X]/\langle X^2+1,2\rangle\cong \Bbb{F}_2[X]/\langle X^2+1\rangle$
29954
Hartshorne Exercise II. 3.19 (a)
72871
How to construct semi direct products between Q and H