Let $V_m$ be the vector space of polynomials in $k[x_1,...,x_n]$ with degree at most $m$. Then what is the dimension of this vector space?
56898
Number of monomials of certain degree
59803
Converse of Schur's Lemma in finite dimensional vector spaces
17748
Is there a quick proof as to why the vector space of $\mathbb{R}$ over $\mathbb{Q}$ is infinite-dimensional?
62303
For $V$ vector space of dimension $n$ under $\mathbb C$ and $T: V \to V $ linear transformation , show $V= \ker T^n \oplus $ Im $T^n$
59030
Finding the dimension of a given vector space
88728
Dimensions of vector subspaces in a direct sum are additive
26780
Dimension of cone of projective variety
104578
Suppose that $V$ is a vector space, and $W$ is a subspace of $V$. If $V$ is finite dimensional, then prove $W$ too must be finite dimensional.
137669
$P$ is a monic polynomial of degree $n$ , then which are correct?
46265
Minimal polynomial of the operator $T:V\oplus W\to V\oplus W$
84697
Show that if $|f(z)| \leq M |z|^n$ then $f$ is a polynomial max degree n
134342
Find a polynomial of degree > 0 in $\mathbb Z_4[X]$ that is a unit.
141843
n-dimensional vector space isomorphic to the n-th product of a field as abelian groups
28658
$R$ with an upper bound for degrees of irreducibles in $R[x]$
92510
Proving a vector space is infinite-dimensional
114146
Polynomial in $n$ variables
26999
How is the degree of the minimal polynomial related to the degree of a field extension?