How to calculate the $k$-dimension of a subspace of a polynomial ring?
56898
Number of monomials of certain degree
107520
Krull dimension of $\mathbb{C}[x_1, x_2, x_3, x_4]/\left$
15020
How to count number of bases and subspaces of a given dimension in a vector space over a finite field?
35222
Characterizing units in polynomial rings
55230
Dimension of set of commutable matrices
79061
show that {$(x_1,x_2,x_3,x_4)\in\mathbb{F}^4$:$x_3=5x_4+b$} is a subspace
13353
How do I find the degree of a multivariable polynomial automatically?
128213
What's the projective limit of these polynomial rings ?
141674
Given $n$ linear functionals $f_k(x_1,\dotsc,x_n) = \sum_{j=1}^n (k-j)x_j$, what is the dimension of the subspace they annihilate?
158156
Finding the dual basis for the space of polynomials of degree $\leq$ 2
118532
Nilradical of polynomial ring
112205
Which of the following polynomials are subspaces of $\mathbb{P}_n$ for an appropriate value of n?
5802
Proving the universal mapping property for polynomial rings
48579
How to find the orthogonal complement of a subspace?
95513
Proving $W$ is a subspace of $P_{2}$
2109
Max dimension of a subspace of singular $n\times n$ matrices
116883
About ideals in a ring which is a $k$ vector space