Can we define vector space on $\mathbb Z$ over any field?
57310
Prove $\mathbb{Z}$ is not a vector space over a field
44710
Vector space of real vectors over field complex scalars.
87451
Construction of matrices under ZFC axioms
132300
Dimensions of vector spaces in an exact sequence
120035
Pattern in Isomorphisms between $\mathbb Z_m \times \mathbb Z_n$ and $\mathbb Z_{mn}$
89058
Question on finite Vector Spaces, injective, surjective and if $V$ is not finite
78412
Representing a countable field by $\Bbb N$ [transport of algebraic structure]
128989
Is ${\bf Z} \times {\bf Z}$ elementarily equivalent to ${\bf Z}$?
53168
Surjective, Injective, Bijective Functions from $\mathbb Z$ to itself
28238
A question about long exact sequence of finite dim vector spaces
26497
Take $\mathbb{R}$ as a vector space over $\mathbb{Q}$, then a basis for $\mathbb{R}$, then $|B|=2^{\aleph_0}$
78833
Can a basis for a vector space $V$ can be restricted to a basis for any subspace $W$?
146617
A complete picture of the lattice of subfields for a cyclotomic extension over $\mathbb{Q}$.
155125
Every ordered field has a subfield isomorphic to $\mathbb Q$?
15020
How to count number of bases and subspaces of a given dimension in a vector space over a finite field?
19671
Does the "field" over which a vector space is defined have to be a Field?
141843
n-dimensional vector space isomorphic to the n-th product of a field as abelian groups