What "finitely generated" vector space means?
43814
What does it mean when a set is said to be a "finitely generated vector space"?
115270
What are the generators of $(\mathbb{R},+)$?
15020
How to count number of bases and subspaces of a given dimension in a vector space over a finite field?
120344
Are there nontrivial vector spaces with finitely many elements?
72077
''Linear'' transformations between vector spaces over different fields .
16643
A slick proof that a field which is finitely generated as a ring is finite
59647
Vector spaces with fractional dimension
110654
Vector Spaces and AC
4383
Finitely generated monoids - how to show that there is not first order set axiomatizing them.
109080
Is the kernel of a map to a finitely presented module finitely generated?
67796
How to prove that the algebra $k[x, xy, xy^2, xy^3, \dotsc]$ is not finitely generated?
52865
Topological Vector Space: $\dim Z\text{ finite}\implies Z\text{ closed}$
69206
A finite-dimensional vector space cannot be covered by finitely many proper subspaces?
137873
Problems that involves two facts in the definition of vector spaces
26989
Show that C[0,1] is a vector space
91173
Finite-dimensional subspace normed vector space is closed
81379
Any two bases of a finite dimensional vector space must have the same number of elements.