Is $\langle x^2-x-1 \rangle$ a maximal ideal of $\mathbb{Z}[x]$?
17991
Nonconstant polynomials do not generate maximal ideals in $\mathbb Z[x]$
81982
Is $\mathbb{Z}[x]$ a principal ideal domain?
87617
Ring of $\mathbb{Z}_2$-valued functions
113582
How can I find an element $x\not\in\mathfrak mM_{\mathfrak m}$ for every maximal ideal $\mathfrak m$
104782
Polynomial irreducible - maximal ideal
105141
$\mathbb R[x]/\langle x^2+1\rangle\simeq\mathbb C$ and $\mathbb R[x]/\langle x^2+1\rangle$ contains a zero of $x^2+1$
63207
Zorn's lemma and maximal ideals
138130
If $I$ is a maximal ideal of $R$, why is $R/I$ a field?
131943
How to directly prove that $M$ is maximal ideal of $A$ iff $A/M$ is a field?
41069
Justifying $\,\Bbb{Z}[i]/\langle 2\rangle\cong \Bbb{Z}[X]/\langle X^2+1,2\rangle\cong \Bbb{F}_2[X]/\langle X^2+1\rangle$
54267
Field of fractions of $\mathbb{Q}[x,y]/\langle x^2+y^2-1\rangle$
129371
Maximal ideals in the ring of real functions on $[0,1]$
121301
What are the roots of an irreducible $p\in F[X]$ in the field extension $F[X]/\langle p\rangle$?
116943
Proof for maximal ideals in $\mathbb{Z}[x]$
104486
Ideal in $\mathbb Z[x]$ which is not two-generated
93658
Proving that an ideal in a PID is maximal if and only if it is generated by an irreducible
78143
Proving $\mathbb{F}_p/\langle f(x)\rangle$ with $f(x)$ irreducible of degree $n$ is a field with $p^n$ elements