Prove that $x^2+x+2$ is maximal ideal in $F_3[x]$ ring.
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?
43230
Is $\langle1-i\rangle$ a maximal ideal in $\mathbb{Z}[i]$?
130466
Proving every prime ideal is maximal in a finite dimensional ring over a field.
148788
Polynomial ring ideal. Show that $(f) \cap R_N = (0) \iff f \notin R_N$
116000
Prove that prime ideals of a finite ring are maximal
69649
If an ideal contains the multiplicative identity, then it is the whole ring
49854
Ideals in polynomial rings generated by linear polynomials
18186
Prove that ideal $I = \langle X^2,X+1\rangle$ is principal or not (in $\mathbb{Z}[X]$ and $\mathbb{Q}[X]$ )
89313
Maximal ideals of polynomial rings in infinitely many variables
147671
Find all ideals of $\mathbb R[x] / \langle x^2-3x+2\rangle$
129371
Maximal ideals in the ring of real functions on $[0,1]$
20097
Cardinality of the quotient ring $\mathbb{Z}[x]/(x^2-3,2x+4)$
45684
Is quotient of a ring by a power of a maximal ideal local?
67237
Pull back image of maximal ideal under surjective ring homomorphism is maximal
111189
Intersection of all maximal ideals containing a given ideal
57198
How to show that a valuation ring has a unique maximal ideal?