Example of ideal which is not primary, but its radical is prime.
69710
Is it true that an ideal is primary iff its radical is prime?
87382
Non-invertible elements form an ideal
148208
In Noetherian ring $R$, ideal $I\subset R$, $P\in\mathrm{Ass}(I),P=I:a$ for some $a\in R$.
120496
Examples of Non-Noetherian Valuation Rings
129302
Proving whether ideals are prime in $\mathbb{Z}[\sqrt{-5}]$
59411
Primary ideals confusion with definition
86724
Example of a non-zero module that has no associated primes
10943
What is an example of a radical of sum of ideals not being equal to the sum of radicals?
116000
Prove that prime ideals of a finite ring are maximal
137450
Two-sided ideal generated by subset of not commutative ring
67669
Prime ideals of a finite direct product ring
37929
Classification of prime ideals of $\mathbb{Z}[X]$
15904
Prime ideal and nilpotent elements
80679
Principal ideal rings that are not integral domains
53469
C(0, 1) has infinitely many prime ideals not of the form Mp
128813
Examples of a commutative ring without an identity in which a maximal ideal is not a prime ideal
105313
Existence of minimal prime ideal contained in given prime ideal and containing a given subset