How does $(a,b)$ where $a,b\in \mathbb{Q}$ form a basis for $\mathbb{R}$?
101979
Set of open intervals in R with rational endpoints is a basis for standard topology on R
21155
Finding basis of $\mathbb{Q}(\sqrt{2},\sqrt{3},\sqrt{5})$ over $\mathbb{Q}$
134294
A (not necessarily unitary) $R$ module $M$ splits into $B\oplus C$ where $B$ is unitary and $RC=\{0\}$.
27188
Bijection between $\mathbb{R}$ and $\mathbb{R}/\mathbb{Q}$
3543
Prove set is basis for $R^3$
141258
Why does $M \mathbin{\otimes_R} N \cong M_\mathfrak{p} \mathbin{\otimes_{R_\mathfrak{p}}} N$?
723
Is there a constructive way to exhibit a basis for $\mathbb{R}^\mathbb{N}$?
73927
Is $\mathbb{R}$ a subset of $\mathbb{R}^2$?
150704
Do the ladder operators $a$ and $a^\dagger$ form a complete algebra basis?
112939
Find a basis for the subspace of $\mathbb{R}^4$ spanned by the given vectors.
21366
Help on the relationship of a basis and a dual basis
110661
When does $\sqrt{a b} = \sqrt{a} \sqrt{b}$?
115270
What are the generators of $(\mathbb{R},+)$?
125894
Prove that $\mathbb{Q}$ belongs to the Borel $\sigma$-algebra of $\mathbb{R}$
25795
Density of $\mathbb{Q}^n$ in $\mathbb{R}^n$
96354
Linear independence of $\sin(x)$, $\sin(2x)$, $\sin(3x)$ in Map($\mathbb{R},\mathbb{R}$)
115273
Nilpotent matrix and basis for $F^n$