Prove $I$ $\in$ $\mathbb{Z}[x]$ s.t. $I=\{f(x)\mid f(0) \text{ is even}\}$ is a maximal ideal, and find the number of elements in $\mathbb{Z}[x]/I$
91294
order of quotient ring
129371
Maximal ideals in the ring of real functions on $[0,1]$
78455
Prove that a nonzero integer p is prime if and only if the ideal (p) is maximal in Z.
20877
The set of all nilpotent elements is an ideal
45962
Show that any prime ideal from such a ring is maximal.
151786
Proving that there is no ideal $I$ in $\mathbb{Z}[t]$ such that $\mathbb{Z}[t]/I \cong \mathbb{Q}$
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?
148550
Units in quotient ring of $\mathbb Z[X]$
130466
Proving every prime ideal is maximal in a finite dimensional ring over a field.
464
Prove that the ideal $(X_1-a_1,...,X_n-a_n)$ is maximal in $K[X_1,\dots,X_n]$
89782
To show that $\langle x-a , y-b\rangle$ is a maximal ideal of $F[x,y]$ by showing that $F[x,y]/\langle x-a , y-b\rangle$ is a field
148788
Polynomial ring ideal. Show that $(f) \cap R_N = (0) \iff f \notin R_N$
74537
Maximal Ideals in $K[y]$
16602
Proving $M_n(I)\lhd M_n(R)$ and proofs about ideal rings.
44083
prove that maximal ideal in $\mathbb{Z}$ generated by a prime number
68202
Must an ideal generated by an irreducible element be a maximal ideal?
90314
Maximal ideals in $R[x]$