What does it mean to localize a ring at a prime ideal?
95274
Geometric meaning of completion and localization
30714
A question on ring homomorphisms and maximal ideals.
69710
Is it true that an ideal is primary iff its radical is prime?
5594
Question about the Euclidean ring definition
5360
Ideal contained in a finite union of prime ideals
129025
Quotient ring local if Ring is local
111996
Maximal and Prime Ideal in Z
45962
Show that any prime ideal from such a ring is maximal.
50908
Showing a Ring and an Ideal are equal
87780
Is the ideal $(2,X+1)\subset\Bbb{Z}[X]$ prime, maximal or neither?
129302
Proving whether ideals are prime in $\mathbb{Z}[\sqrt{-5}]$
1580
An integral domain $A$ is exactly the intersection of the localisations of $A$ at each maximal ideal
85148
How do ideal quotients behave with respect to localization?
37929
Classification of prime ideals of $\mathbb{Z}[X]$
53367
In a principal ideal domain, prove that every non trivial prime ideal is a maximal ideal. What could be wrong in this approach?
13901
Finitely many prime ideals lying over $\mathfrak{p}$
139582
Converse of "localization at a prime is local"