Ring as a finite dimensional Vector space over a field K
58424
If $A$ an integral domain contains a field $K$ and $A$ over $K$ is a finite-dimensional vector space, then $A$ is a field.
121636
General linear group of a vector space
81471
Finite dimensional spaces
17304
Tensor product of two finitely-generated modules over a local ring is zero
117005
Rules in the ring with coefficients in finite field $\mathbb{F}_p$
102072
Simple $M_n(D)$-module with $D$ a division ring
120344
Are there nontrivial vector spaces with finitely many elements?
38817
Why is the ring of matrices over a field simple?
110654
Vector Spaces and AC
2995
A finite dimensional algebra over a field has only finitely many prime ideals and all of them are maximal
100340
Invariant dimension property on a ring without zero divisors
35286
number of differents vector space structures over the same field $\mathbb{F}$ on an abelian group
151467
An infinite generating set of a finite dimensional vector space contains a basis
72077
''Linear'' transformations between vector spaces over different fields .
44710
Vector space of real vectors over field complex scalars.
43503
Bases of complex vector spaces and the axiom of choice
57310
Prove $\mathbb{Z}$ is not a vector space over a field