Prove or disprove : Every factor ring of an integral domain is an integral domain
124672
Let $f:R\rightarrow S$ be a ring homomorphism. Prove or disprove: if $f$ is onto and $R$ is an integral domain, then $S$ is an integral domain
5893
On the commutative property of multiplication (domain of integers, possibly reals)
154495
Prove that a nontrivial subring of a ring that is a domain has the same identity
132193
Why $\Bbb Z$ = (integers) is an integral domain?
1580
An integral domain $A$ is exactly the intersection of the localisations of $A$ at each maximal ideal
67699
Integral domain that is integrally closed, one-dimensional and not noetherian
81982
Is $\mathbb{Z}[x]$ a principal ideal domain?
16643
A slick proof that a field which is finitely generated as a ring is finite
96132
$R$ integral domain : $u\in R^*, a \text{ is prime} \iff au \text{ is prime}$
93118
How to show that if two integral domains are isomorphic, then their corresponding field of quotients are isomorphic?
98544
Prove that in any GCD domain every irreducible element is prime
132289
Associates in Integral Domain
90599
Trouble with proving $A$ is an integrally closed domain $\Rightarrow$ $A[t]$ is integrally closed domain
93681
Integral closure of $\mathbb{Z}$ in $\mathbb{C}$ is not finitely generated as a $\mathbb{Z}$-module?
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
23721
Prove that the Gaussian Integer's ring is a Euclidean domain
151794
Can an ideal in a commutative integral domain be its own square?