Given a prime ideal $\mathfrak p\subset k[x,y,z]$, is $\mathfrak{p}^2$ a primary ideal?
9792
Is there an example of a power of prime ideal in a polynomial ring that is not primary?
62917
Associated Prime Ideals in a Noetherian Ring; Exercise 6.4 in Matsumura
69710
Is it true that an ideal is primary iff its radical is prime?
103518
If $J$ is the ideal generated by all idempotents in a prime ideal, then $R/J$ has only trivial idempotents
37929
Classification of prime ideals of $\mathbb{Z}[X]$
56800
Intersection of prime ideals
110022
Showing prime and maximal ideal
154239
Can a prime in a Dedekind domain be contained in the union of the other prime ideals?
146801
Primary decomposition of an ideal
81982
Is $\mathbb{Z}[x]$ a principal ideal domain?
108767
Irreducible Components of the Prime Spectrum of a Quotient Ring and Primary Decomposition
19230
Prime/Maximal Ideals in $\mathbb{Z}[\sqrt d]$
145594
Splitting of prime ideals in algebraic extensions
44083
prove that maximal ideal in $\mathbb{Z}$ generated by a prime number
33245
Show that every ideal of the ring $\mathbb Z$ is principal
133975
Localising a polynomial ring and non-maximal prime ideal
136654
$(x_1-a_1, x_2-a_2)$ is a maximal ideal of $K[x_1,x_2]$