Irreducible subsets of the affine plane
21946
What do prime ideals in $k[x,y]$ look like?
40994
How to check that a cubic polynomial is irreducible?
116378
Nonhomeomorphic subsets of the plane
73344
Definition of irreducible polynomial via the units of an integral domain.
97902
In a integral domain every prime element is irreducible
104782
Polynomial irreducible - maximal ideal
108767
Irreducible Components of the Prime Spectrum of a Quotient Ring and Primary Decomposition
150515
Construct an affine transformation of a plane given the images of three points
102432
Irreducible polynomial of degree $8$
28079
Do these definitions of irreducibility of algebraic sets coincide?
100437
Classification of connected subsets of the real line (up to homeomorphism)
64861
Intersection of open affines can be covered by open sets distinguished in *both*affines
29545
$[(x-a_1)(x-a_2) \cdots (x-a_n)]^2 +1$ is irreducible over $\mathbb Q$
116856
Proving that a polynomial of the form $(x-a_1)\cdots(x-a_n) + 1$ is irreducible over $\mathbb{Q}$
52528
Showing that minimal polynomial has the same irreducible factors as characteristic polynomial
41693
Use irreducible fibers to show $X$ is irreducible
134055
Some irreducible character separates elements in different conjugacy classes