Proving that $ \langle x,2 \rangle$ is a maximal ideal of $\mathbb Z[x]$
73235
Rings $R/I \cong h(R)/h(I)\,$ for injective ring hom $h$
30714
A question on ring homomorphisms and maximal ideals.
131943
How to directly prove that $M$ is maximal ideal of $A$ iff $A/M$ is a field?
17991
Nonconstant polynomials do not generate maximal ideals in $\mathbb Z[x]$
130466
Proving every prime ideal is maximal in a finite dimensional ring over a field.
151786
Proving that there is no ideal $I$ in $\mathbb{Z}[t]$ such that $\mathbb{Z}[t]/I \cong \mathbb{Q}$
18406
An ideal whose radical is maximal is primary
111114
Prove that an ideal in $k[x,y]$ is a prime ideal
23517
Presentation $\langle x,y,z\mid xyx^{-1}y^{-2},yzy^{-1}z^{-2},zxz^{-1}x^{-2}\rangle$ of group equal to trivial group
91622
Help with proof that $\mathbb Z[i]/\langle 1 - i \rangle$ is a field.
147671
Find all ideals of $\mathbb R[x] / \langle x^2-3x+2\rangle$
43889
Prove that $u-i$ is a maximal ideal of $\frac {\Bbb C[X,Y]} {\left (X^2+Y^2-1 \right )}.$
112150
Prove that the ideal $(x^2 + x+2)$ is maximal in $F_3[x]$
2907
How do I show that $x$ is a root of $p(x)$ in $F[x]/\langle p(x)\rangle$?
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
78143
Proving $\mathbb{F}_p/\langle f(x)\rangle$ with $f(x)$ irreducible of degree $n$ is a field with $p^n$ elements
94296
Classifying the factor group $(\mathbb{Z} \times \mathbb{Z})/\langle (2, 2) \rangle$