Hilbert's Nullstellensatz and irreducible polynomials
121995
Hilbert's Nullstellensatz implies $I(Z(I)) = \sqrt{I}$
60816
Irreducibility of special cyclotomic polynomial.
133312
Are these polynomials irreducible in $\mathbb{Q}[x]$?
74777
Solvability and reducibility of a polynomial in a "chain" of finite fields
141792
Slick proof the determinant is an irreducible polynomial
128043
$A^n=0$ for $A$ nilpotent without the use of minimal polynomial
16592
Irreducible polynomial which is reducible modulo every prime
97729
Show that a polynomial $f(x)$ over a field $k$ is irreducible if and only if the polynomial $f(x+1)$ is irreducible
64878
Is this polynomial irreducible in $\mathbb{Q}$?
97028
Find all irreducible monic polynomials in $\mathbb{Z}/(2)[x]$ with degree equal or less than 5
121301
What are the roots of an irreducible $p\in F[X]$ in the field extension $F[X]/\langle p\rangle$?
28079
Do these definitions of irreducibility of algebraic sets coincide?
134701
Polynomials irreducible over $\mathbb{Q}$ but reducible over $\mathbb{F}_p$ for every prime $p$
70249
Irreducibility of Polynomials in $k[x,y]$
53669
Prove that the polynomial $(x-1)(x-2)\cdots(x-n) + 1$, $ n\ge1 $, $ n\ne4 $ is irreducible over $\mathbb Z$
144225
$\ell_p$ is Hilbert if and only if $p=2$
31215
Irreducible cyclotomic polynomial