Does a maximal ideal of $\mathbb{Z}[X,Y]$ contain a prime number?
29635
Fields finitely generated as $\mathbb Z$-algebras are finite?
122012
The ideal $(x,y)$ is not a free $K[x,y]$-module
50809
Proving $R-S$ contains a prime ideal when $S$ is a multiplicative set
6307
maximal ideal not containing some expression
93641
A maximal ideal among those avoiding a multiplicative set is prime
116430
If $I = \langle 2\rangle$, why is $I[x]$ not a maximal ideal of $\mathbb Z[x]$, even though $I$ is a maximal ideal of $\mathbb Z$?
111287
number of prime ideals in algebraic integers
146304
prove $(n)$ prime ideal of $\mathbb{Z}$ iff $n$ is prime or zero
38228
Let $R$ be a Artinian commutative ring with $1 \neq 0$. If $I$ is prime, then $I$ is maximal.
107463
Is an ideal which is maximal with respect to the property that it consists of zero divisors necessarily prime?
129371
Maximal ideals in the ring of real functions on $[0,1]$
70047
Is the ideal generated by irreducible element in principal ideal domain maximal?
93658
Proving that an ideal in a PID is maximal if and only if it is generated by an irreducible
67342
Why does a minimal prime ideal consist of zerodivisors?
54916
Maximal ideal in commutative ring
105313
Existence of minimal prime ideal contained in given prime ideal and containing a given subset
5360
Ideal contained in a finite union of prime ideals