If f and g are irreducible polynomials in K[X,Y ] that are not associates, show that the zero set Z(f,g) is either empty or finite
63605
Irreducible polynomials and affine variety
54192
Why $x^{p^n}-x+1$ is irreducible in ${\mathbb{F}_p}$ only when $n=1$ or $n=p=2$
111338
Affine variety over a field which is not algebraically closed can be written as the zero set of a single polynomial
53012
Irreducibility of a polynomial if it has no root (Capelli)
40502
The Degree of Zero Polynomial.
27577
An irreducible polynomial of degree coprime to the degree of an extension is irreducible over this extension
146980
Zero divisors of $\mathbb{Z}×\mathbb{Z}×\mathbb{Z}$
132572
Why this polynomial is irreducible?
121714
Show that the polynomial $X^5 + X^3 + \bar{1}$ in $(\mathbb{Z}/2\mathbb{Z}[X])$ is irreducible
133312
Are these polynomials irreducible in $\mathbb{Q}[x]$?
156671
Necessary and sufficient condition for $x^n - y^m$ to be irreducible in $\Bbb C[x,y]$
16593
Irreducible Spectrum implies Zero-Divisors are Nilpotent
134701
Polynomials irreducible over $\mathbb{Q}$ but reducible over $\mathbb{F}_p$ for every prime $p$
38364
Showing that $x^n -2$ is irreducible in $\mathbb{Q}[X]$
121658
$x^2+y^2-1$ irreducible in $\mathbb{Q}[x,y]$?
112371
Computing irreducible components of algebraic set
148909
Irreducible polynomials of degree 3 and 5