$A=\{(p,H): H\supset T_pX \}\subset X \times (\mathbb{P}^N)^*$ is irreducible!
41693
Use irreducible fibers to show $X$ is irreducible
25471
Irreducibility of $x^n-x-1$ over $\mathbb Q$
104782
Polynomial irreducible - maximal ideal
112371
Computing irreducible components of algebraic set
70861
$\mathbb P^n\times \mathbb P^m\not\cong \mathbb P^{m+n}$
46951
For what values of $n > 1$ and a is $x^n - a$ irreducible in $\mathbb Q[x]$?
133312
Are these polynomials irreducible in $\mathbb{Q}[x]$?
16035
Irreducibility of $X^{p-1} + \cdots + X+1$
64878
Is this polynomial irreducible in $\mathbb{Q}$?
134701
Polynomials irreducible over $\mathbb{Q}$ but reducible over $\mathbb{F}_p$ for every prime $p$
143095
If an $H\le G$ has an irreducible representation of dimension $d$, then show $G$ has an irreducible representation of at least dimension $d$.
17670
If $p\in R[X_1,\dots,X_n]$ is irreducible, is it still irreducible in $R[X_1,\dots,X_n,\dots,X_N]$?
78143
Proving $\mathbb{F}_p/\langle f(x)\rangle$ with $f(x)$ irreducible of degree $n$ is a field with $p^n$ elements
28658
$R$ with an upper bound for degrees of irreducibles in $R[x]$
114762
Prove that $f(x)$ is irreducible iff its reciprocal polynomial $f^*(x)$ is irreducible.
55432
Infinite distinct factorizations into irreducibles for an element
79826
$gHg^{-1}\subset H$ whenever $Ha\not = Hb$ implies $aH\not =bH$