Maximal ideal among those that are not finitely generated
6699
An ideal that is maximal among non-finitely generated ideals is prime.
104486
Ideal in $\mathbb Z[x]$ which is not two-generated
16984
Finite extension of domains : preimage of non-zero ideal is non-zero?
70856
Construct ideals in $\mathbb Z[x]$ with a given least number of generators
138572
Is $(xy-1)$ a maximal ideal in $\mathbb C[x,y]$?
149412
Every prime ideal of a finitely generated $\mathbb{R}$-algebra is an intersection of maximal ideals?
5360
Ideal contained in a finite union of prime ideals
113582
How can I find an element $x\not\in\mathfrak mM_{\mathfrak m}$ for every maximal ideal $\mathfrak m$
99423
Is it true every ideal of $\mathbb{Z}[x]$ is finitely generated?
60674
Finitely generated idempotent ideals are principal: proof without using Nakayama's lemma
155745
Ideals of $\mathbb{Z}[X]$
134991
Commutative non Noetherian rings in which all maximal ideals are finitely generated
57198
How to show that a valuation ring has a unique maximal ideal?
151829
Why are maximal ideals prime?
128813
Examples of a commutative ring without an identity in which a maximal ideal is not a prime ideal
2995
A finite dimensional algebra over a field has only finitely many prime ideals and all of them are maximal
53469
C(0, 1) has infinitely many prime ideals not of the form Mp