Minimal prime ideals consist of zerodivisors
67342
Why does a minimal prime ideal consist of zerodivisors?
92519
ideal behind Maximal ideals are Prime ideals
110022
Showing prime and maximal ideal
37929
Classification of prime ideals of $\mathbb{Z}[X]$
90889
Prime ideals in a finite direct product of rings
62917
Associated Prime Ideals in a Noetherian Ring; Exercise 6.4 in Matsumura
6646
A (non-artificial) example of a ring without maximal ideals
145594
Splitting of prime ideals in algebraic extensions
24203
Finding Zero Divisors and Units of Rings $\mathbb{Z}_n \times \mathbb{Z}_m$
135682
Are distinct prime ideals in a ring always coprime? If not, then when are they?
70856
Construct ideals in $\mathbb Z[x]$ with a given least number of generators
110984
Ideals and prime ideals in a commutative ring.
102341
Primary decomposition of a monomial ideal
108767
Irreducible Components of the Prime Spectrum of a Quotient Ring and Primary Decomposition
151829
Why are maximal ideals prime?
19883
Prime ideals of the matrix ring
92585
If krull dimension is $0$, then all prime ideals are maximal?