Show that Z cannot be turned into a vector space over any field.
104562
Prove that $\mathbb{Z}$ is not isomorphic to additive group of any vector space over any field.
85032
$Q(\mathbb{Z}[t]) / \mathbb{Z}[t]$ is not injective
112933
Show that $Z\times Z$ is not cyclic...
98731
Show that there is no epimorphism from ($\mathbb{Q}$, +) to ($\mathbb{Z}$, +)
113742
Nullstellensatz non-valid for non-algebraically closed fields
67383
Prove that $G'$ is not planar.
116112
Examples of 'almost' vector spaces where unitary law fails
19671
Does the "field" over which a vector space is defined have to be a Field?
110654
Vector Spaces and AC
46254
Why can't the Polynomial Ring be a Field?
141833
Is it possible to construct a quasi-vectorial space without an identity element?
17748
Is there a quick proof as to why the vector space of $\mathbb{R}$ over $\mathbb{Q}$ is infinite-dimensional?
113216
No field properly between $\mathbb Q$ and $E$ iff $G(K/\mathbb Q) \cong A_4$ or $S_4$
104851
A finite field cannot be an ordered field.
112548
Existence of non-trivial linear functional on any vector space
79725
Fields of arbitrary cardinality
52865
Topological Vector Space: $\dim Z\text{ finite}\implies Z\text{ closed}$