To check whether $\langle 3+i\rangle$ is a maximal ideal or not in the ring of Gaussian integers $\Bbb Z[i]$
6121
Quotient ring of Gaussian integers
112150
Prove that the ideal $(x^2 + x+2)$ is maximal in $F_3[x]$
31263
Quotient rings of Gaussian integers
96144
Every element outside the maximal ideal of a local ring is a unit
91622
Help with proof that $\mathbb Z[i]/\langle 1 - i \rangle$ is a field.
155745
Ideals of $\mathbb{Z}[X]$
93723
Find all the maximal ideals in the ring $\mathbb{R}[x]$.
107821
The ring of integers of $\mathbf{Q}[i]$
29126
Maximal ideal in the ring of continuous functions from $\mathbb{R} \to \mathbb{R}$
41069
Justifying $\,\Bbb{Z}[i]/\langle 2\rangle\cong \Bbb{Z}[X]/\langle X^2+1,2\rangle\cong \Bbb{F}_2[X]/\langle X^2+1\rangle$
138130
If $I$ is a maximal ideal of $R$, why is $R/I$ a field?
57166
Showing that $\Bbb R[x] / \langle x^2 + 1 \rangle$ is isomorphic to $\Bbb C$ question
1720
Show that $\langle 2,x \rangle$ is not a principal ideal in $\mathbb Z [x]$
157876
If every prime ideal is maximal, what can we say about the ring?
52966
Rings, ideals and units-proof
61292
How to know which elements are in the Quotient Ring $\mathbb{Z}[x]/\langle x, 2\rangle$?
464
Prove that the ideal $(X_1-a_1,...,X_n-a_n)$ is maximal in $K[X_1,\dots,X_n]$