An integral domain that is not a principal ideal domain
1720
Show that $\langle 2,x \rangle$ is not a principal ideal in $\mathbb Z [x]$
7011
Integral domain with fraction field equal to $\mathbb{R}$
6186
An Integrable function which is not essentially bounded on any subinterval of $[0,1]$
23721
Prove that the Gaussian Integer's ring is a Euclidean domain
15137
Does $IJ=IK\implies J=K$ always hold for integral domain and finitely generated nonzero ideal $I$?
3037
Integral domain without unity has prime characteristic?
8317
Understanding a proof of "If $R$ is an integral domain, then $R[x]$ is an integral domain as well".
143884
A non-noetherian ring with noetherian spectrum
93118
How to show that if two integral domains are isomorphic, then their corresponding field of quotients are isomorphic?
141078
Domain over which a polynomial is strictly positive
97902
In a integral domain every prime element is irreducible
11109
The ideal generated by a non-compact operator
94579
$\mathbb{Q}[x,y]/\langle x^2+y^2-1 \rangle$ is an integral domain, and its field of fractions is isomorphic to $\mathbb Q(t)$
85987
Prove that $k[x,y,z,w]/(xy-zw)$, the coordinate ring of $V(xy-zw) \subset \mathbb{A}^4$, is not a unique factorization domain
95408
Give an example to show that a factor ring of a ring with divisors of 0 may be an integral domain
134458
Isomorphisms preserving integral domains and fields
24351
The ring $\Bbb Z\left [\frac{-1+\sqrt{-19}}{2}\right ]$ is not a Euclidean domain