Every irreducible component of $X$ has dimension at least $n - r$.
62484
Proving Hartshorne's Exercise I-1.9 by using exercise I-1.8
25471
Irreducibility of $x^n-x-1$ over $\mathbb Q$
69206
A finite-dimensional vector space cannot be covered by finitely many proper subspaces?
52528
Showing that minimal polynomial has the same irreducible factors as characteristic polynomial
45485
Dimension of a subset
153107
Does every connected component of $\{z : |P(z)|<1 \}$ contain a zero?
97902
In a integral domain every prime element is irreducible
47537
Open nonempty subset of irreducible variety over $k$ has the same Krull dimension as the whole variety?
10627
When is $X^n-a$ is irreducible over F?
120673
Irreducible fibers of a closed subset implies irreducibility
100340
Invariant dimension property on a ring without zero divisors
49303
In a noetherian integral domain every non invertible element is a product of irreducible elements
46951
For what values of $n > 1$ and a is $x^n - a$ irreducible in $\mathbb Q[x]$?
84492
Can $X$ have compact connected components?
78540
Every irreducible polynomial f over perfect field F is separable
62134
Show that if $ R $ is an integral domain then a polynomial in $ R[X] $ of degree $ d $ can have at most $ d $ roots
153747
Sub-dimensional linear subspaces of $\mathbb{R}^{n}$ have measure zero.