Find an abelian group $V$ and a field $F$ such that $(V,F)$ can define two distinct vector spaces
35286
number of differents vector space structures over the same field $\mathbb{F}$ on an abelian group
55393
Existence of a group isomorphism between $(\mathbb K,+)$ and $(\mathbb K^\times,\cdot)$
29030
Vector space with new scalar multiplication defined over finite field still vector space?
46648
How to prove the existence of a splitting field?
117986
Are there linear transformations from vector spaces over different fields?
1799
How many k-dimensional subspaces there are in n-dimensional vector space over $\mathbb F_p$?
128866
Isomorphism between dual space and bilinear forms
113261
How to find a vector space V and decompositions $V=A\oplus B = C\oplus D$ with $A$ isomorphic to $C$ but $B$ is not isomorphic to $D?$
77036
Normed vector spaces over finite fields
133770
Subgroups of finite abelian groups.
41018
What is the main difference between a vector space and a field?
151117
Are all fields vector spaces?
883
$K(u,v)$ is a simple extension of fields if $u$ is separable
27689
Separability over intersection of intermediate fields
81550
Linking two theorems: on algebraic closure and on minimal splitting field
45760
if G is generated by {a,b} and ab=ba, then prove G is Abelian
68526
Polynomials as vector spaces?