integral domain as an intersection of localizations
1580
An integral domain $A$ is exactly the intersection of the localisations of $A$ at each maximal ideal
141410
Injective integral domains are fields
84149
Prove that an infinite ring with finite quotient rings is an integral domain
128550
Algebraic field extension and intermediate integral domain
139582
Converse of "localization at a prime is local"
16727
Intersection of finitely generated ideals
145933
Localization commutes with Hom for finitely-generated modules
27167
Ideals in $F[x]$ and Euclidean domains are generated by any element of minimal degree
71479
Is there some elementary proof of invariance of domain?
29359
Localisation isomorphic to a quotient of polynomial ring
65381
Krull dimension on localization
18036
Localization by a non-nilpotent as a polynomial quotient
141659
Every field is an integral domain
42552
Localisation is isomorphic to a quotient of polynomial ring
13174
Show that $A[X]/(aX+b)$ is an integral domain
4507
Localization of a ring which is not a domain
82458
Homeomorphism between the unit disc and the unit square