Characteristic of an integral domain is 0 (or prime)
63659
If D is an Integral Domain and has finite characteristic p, prove p is prime.
31049
If $p$ is an irreducible element of an integral domain $D$, and if $e$ belongs to $D^\ast$ prove that $ep$ is also ireducible
70776
Characteristic of a field is $0$ or prime
34183
An equivalent condition with $\{0\}$ being the only nilpotent ideal
62951
Is there a more direct way of proving that this ring is an integral domain?
81982
Is $\mathbb{Z}[x]$ a principal ideal domain?
115814
If $\operatorname{Re}f^\prime > 0$ on a convex domain, then $f$ is one-to-one.
42170
$R$ integral domain where every prime ideal is principal then set of non-principal ideals has maximal element
97904
Example of infinite field of characteristic $p\neq 0$
75764
Regularity of a domain - definition
123024
A Noetherian integral domain is a UFD iff $(f):(g)$ is principal
126503
Showing that an integral domain is a PID if it satisfies two conditions
102914
Integral domain that is not a factorization domain
92420
Characteristic of  a Non-unital Integral Ring
107463
Is an ideal which is maximal with respect to the property that it consists of zero divisors necessarily prime?
116453
Is any quotient of a Euclidean domain by a prime ideal a Euclidean domain?
96355
What is the first order axiom characterizing a field having characteristic zero?