Example of integral domain with infinitely ascending chain of ideals.
37410
Example of a ring with an infinite inclusion chain of ideals
96132
$R$ integral domain : $u\in R^*, a \text{ is prime} \iff au \text{ is prime}$
70047
Is the ideal generated by irreducible element in principal ideal domain maximal?
120496
Examples of Non-Noetherian Valuation Rings
132193
Why $\Bbb Z$ = (integers) is an integral domain?
13174
Show that $A[X]/(aX+b)$ is an integral domain
155745
Ideals of $\mathbb{Z}[X]$
151794
Can an ideal in a commutative integral domain be its own square?
15128
Example of non-decomposable ideal
74139
Subrings of integral domains have the same identity element.
116943
Proof for maximal ideals in $\mathbb{Z}[x]$
78380
Dedekind domain with a finite number of prime ideals is principal
29126
Maximal ideal in the ring of continuous functions from $\mathbb{R} \to \mathbb{R}$
84386
Domain strictly contained in the intersection of localizations at the primes of height one
141410
Injective integral domains are fields
113152
Prove Principal Ideal Domain from Bezout's condition, and terminating divisibility chain
84149
Prove that an infinite ring with finite quotient rings is an integral domain