Geometrically Reduced implies Reduced (resp geom. Integral, Irreducible)
30311
Base change and irreducibility/reducedness/connectedness in Qing Liu's book (3.2.7 and 3.2.11 using 3.2.6)
109610
Is $\mathbb{R}[X]/(P)$ isomorphic to $\mathbb C$ for every irreducible polynomial $P$ of degree $2?$
137233
$f$ is irreducible $\iff$ $G$ act transitively on the roots
143095
If an $H\le G$ has an irreducible representation of dimension $d$, then show $G$ has an irreducible representation of at least dimension $d$.
142093
The closure of an irreducible subset of an irreducible space is irreducible.
38571
Localization of a total quotient ring of a reduced ring
99341
Basic question: closure of irreducible sets
48093
Irreducible polynomial in field extension
79328
Proposition 5.15 from Atiyah and Macdonald: Integral Closure and Minimal Polynomial
47096
translation invariant of integral on $\mathbb{R}$
87072
why geometric multiplicity is bounded by algebraic multiplicity?
115782
Proof $\mathbb{A}^n$ is irreducible, without Nullstellensatz
21057
Complex algebraic group is reductive $\iff$ it is the complexification of a compact Lie group?
34712
Decomposable elements of $\Lambda^k(V)$
97902
In a integral domain every prime element is irreducible
96567
Immersion of $\mathbb{R}$ to $\mathbb{R}^2$
11259
Prove $R\times S$ is not an integral domain