Complete ring which is not integral domain
45971
Complete local ring which is not complete valuation ring
52081
Why is not the ring $\mathbb{Z}[2\sqrt{2}]$ a unique factorization domain?
11573
Rings and some of their properties
6646
A (non-artificial) example of a ring without maximal ideals
140553
An ideal which is not finitely generated
5084
When is the completion of a ring a local ring ?
141659
Every field is an integral domain
135152
Non-UFD integral domain such that prime is equivalent to irreducible?
148434
Ring where irreducibles are primes which is not an UFD
37410
Example of a ring with an infinite inclusion chain of ideals
141100
Nontrivial subring with unity different from the whole ring?
91129
Can there be an onto homomorphism from a ring without unity to a ring with unity?
111679
Example of a ring without unity that has a subring with unity?
104486
Ideal in $\mathbb Z[x]$ which is not two-generated
24351
The ring $\Bbb Z\left [\frac{-1+\sqrt{-19}}{2}\right ]$ is not a Euclidean domain
62951
Is there a more direct way of proving that this ring is an integral domain?
87382
Non-invertible elements form an ideal