Show that every nonzero prime ideal in $\mathbb{C}[x, y]/(x^2 - y^2 - 1)$ is maximal
94819
Prove that $\frac{\mathbb{C}[x,y]}{\langle x^2-y^2-1\rangle}$ is an integral domain such that all the nonzero prime ideals are maximal.
146304
prove $(n)$ prime ideal of $\mathbb{Z}$ iff $n$ is prime or zero
112150
Prove that the ideal $(x^2 + x+2)$ is maximal in $F_3[x]$
28244
Is the ideal $I = \{f\mid f (0) = 0\}$ in the ring $C [0, 1]$ of all continuous real valued functions on $[0, 1]$ a maximal ideal?
114343
If $I$ and $J$ are ideals in a ring $R$ with $1$ such that $I+J = R$, show that $I^m$ and $J^n$ are co-maximal for all $m,n \in \mathbb{N}$
131943
How to directly prove that $M$ is maximal ideal of $A$ iff $A/M$ is a field?
116000
Prove that prime ideals of a finite ring are maximal
17991
Nonconstant polynomials do not generate maximal ideals in $\mathbb Z[x]$
33245
Show that every ideal of the ring $\mathbb Z$ is principal
54916
Maximal ideal in commutative ring
43230
Is $\langle1-i\rangle$ a maximal ideal in $\mathbb{Z}[i]$?
18186
Prove that ideal $I = \langle X^2,X+1\rangle$ is principal or not (in $\mathbb{Z}[X]$ and $\mathbb{Q}[X]$ )
30714
A question on ring homomorphisms and maximal ideals.
134991
Commutative non Noetherian rings in which all maximal ideals are finitely generated
118306
$I:=\{f(x)\in R\mid f(1)=0\}$ is a maximal ideal?
89313
Maximal ideals of polynomial rings in infinitely many variables
104782
Polynomial irreducible - maximal ideal