if R is a commutative ring in which all the prime ideals are finitely generated then R is Noetherian
6699
An ideal that is maximal among non-finitely generated ideals is prime.
19883
Prime ideals of the matrix ring
116000
Prove that prime ideals of a finite ring are maximal
112045
A property of minimal prime ideal
141900
Exact sequence and Noetherian modules
107002
Noetherian ring whose ideals have arbitrarily large number of generators
157585
Structure theorem of finite rings
152730
Example of a finitely generated faithful torsion module over a commutative ring
75558
Counter-example for prime ideals in a non commutative ring.
4790
Generators of a finitely generated free module over a commutative ring
52602
$K[X^2,X^3]\subset K[X]$ is a Noetherian domain and all its prime ideals are maximal
13901
Finitely many prime ideals lying over $\mathfrak{p}$
5360
Ideal contained in a finite union of prime ideals
85206
Verifying proof :an Ideal $P$ is prime Ideal if $R/P$ is an integral domain.
153622
Are intermediate rings of finitely generated ring extensions also finitely generated?
79535
Prove that $R$ is a commutative ring if $x^3=x$
149753
The structure of a Noetherian ring in which every element is an idempotent.