Minimal prime ideals are made of zero-divisors
67342
Why does a minimal prime ideal consist of zerodivisors?
5360
Ideal contained in a finite union of prime ideals
70856
Construct ideals in $\mathbb Z[x]$ with a given least number of generators
106550
The bijection between homogeneous prime ideals of $S_f$ and prime ideals of $(S_f)_0$
24203
Finding Zero Divisors and Units of Rings $\mathbb{Z}_n \times \mathbb{Z}_m$
138882
A prime poset of ideals
116000
Prove that prime ideals of a finite ring are maximal
7833
Ideal and minimal polynomial
63207
Zorn's lemma and maximal ideals
110022
Showing prime and maximal ideal
131497
Maximal ideal not containing the set of powers of an element is prime
116526
Finite ring has only zero divisors and units
84751
How can it be possible to localize a ring at a set with zero divisors?
37929
Classification of prime ideals of $\mathbb{Z}[X]$
31585
Primary ideals of $\mathbb{Z}$
94532
How to prove a commutative, with unit, Noetherian ring $A$ only has finitely many minimal prime ideals via the following step?
13901
Finitely many prime ideals lying over $\mathfrak{p}$