Show that the ideal generated by a polynomial and a prime is maximal
116943
Proof for maximal ideals in $\mathbb{Z}[x]$
587
Ideal Generated by the Union of Two Ideals
138882
A prime poset of ideals
113582
How can I find an element $x\not\in\mathfrak mM_{\mathfrak m}$ for every maximal ideal $\mathfrak m$
3327
Height and minimal number of generators of an ideal
63207
Zorn's lemma and maximal ideals
30714
A question on ring homomorphisms and maximal ideals.
108380
Assume $P$ is a prime ideal s.t. $K \subset P$, show $f(P)$ is a prime ideal
96071
How to show that a prime ideal of height 2 can’t necessarily be generated by 2 elements? (Hartshorne exercise I.1.11)
54916
Maximal ideal in commutative ring
69352
Prove that $I= \{a+bi \in ℤ[i] : a≡b \pmod{2}\}$ is an maximal ideal of $ℤ[i]$.
78455
Prove that a nonzero integer p is prime if and only if the ideal (p) is maximal in Z.
81743
Prime ideals in $C[0,1]$
108896
Prime ideal in a polynomial ring over an integrally closed domain
5360
Ideal contained in a finite union of prime ideals
131497
Maximal ideal not containing the set of powers of an element is prime
151829
Why are maximal ideals prime?