Can set of integers form a vector space over field of rationals?
57310
Prove $\mathbb{Z}$ is not a vector space over a field
51397
If a field $F$ is such that $\left|F\right|>n-1$ why is $V$ a vector space over $F$ not equal to the union of $n$ proper subspaces of $V$
18373
Can infinite-dimensional vector spaces be decomposed into direct sum of its subspaces?
151467
An infinite generating set of a finite dimensional vector space contains a basis
133711
Orthogonal basis for infinite-dimensional vector spaces
44710
Vector space of real vectors over field complex scalars.
87451
Construction of matrices under ZFC axioms
146617
A complete picture of the lattice of subfields for a cyclotomic extension over $\mathbb{Q}$.
132300
Dimensions of vector spaces in an exact sequence
102371
Proving that two vector spaces of equal dimension are isomorphic
42362
Show that the dual space of the vector space of all polynomials is isomorphic to the infinite-dimensional Euclidean vector space over the reals
19671
Does the "field" over which a vector space is defined have to be a Field?
147429
Set of points in $\mathbb{C}$ s.t. $z^{n-1} = \overline z$
86362
Cyclic vectors in a real vector space
26497
Take $\mathbb{R}$ as a vector space over $\mathbb{Q}$, then a basis for $\mathbb{R}$, then $|B|=2^{\aleph_0}$
81628
Why do we call a vector space in terms of vector space over some field?
114442
Completion of rational numbers via Cauchy sequences