Show that $I=\langle x+1, x^2+1\rangle$ is maximal in $\mathbb Z[x]$.
89056
Intuitive understanding of ideal $I = (x+1,x^2+1)$ and the quotient $\Bbb Z[x]/I$
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
136654
$(x_1-a_1, x_2-a_2)$ is a maximal ideal of $K[x_1,x_2]$
78143
Proving $\mathbb{F}_p/\langle f(x)\rangle$ with $f(x)$ irreducible of degree $n$ is a field with $p^n$ elements
13682
Is $\langle a,b \mid a^2b^2=1 \rangle$ a semidirect product of $\mathbb{Z}^2$ and $\mathbb{Z}_2$?
132725
Is $\mathbb{Z}/\langle n\rangle$ cyclic and of order $n$?
122213
Proving that if $\langle Ax,x\rangle =0$ for every $x$, then $A$ is the zero operator
86717
Completeness of $\langle \mathscr{C} [0, 1], \| \cdot \|_1 \rangle$
93169
Show that $(\mathbb Z[x],+)$ and $(\mathbb Q_{>0},\cdot)$ are isomorphic groups
77903
Finding the integral closure of $\mathbb{Z}$ in $\mathbb{Q}[i]$
128710
Prove that $\langle a^n \rangle \bigcap \langle a^k \rangle = \langle a^{lcm (n,k)} \rangle$
1720
Show that $\langle 2,x \rangle$ is not a principal ideal in $\mathbb Z [x]$
87780
Is the ideal $(2,X+1)\subset\Bbb{Z}[X]$ prime, maximal or neither?
138275
Show $100+t$ is reducible in $\mathbb{Z}[[t]]$
78118
Algebraically, why is $\mathbb{Z}[i]/(i + 1)$ isomorphic to $\mathbb{Z}_{2}$?
74537
Maximal Ideals in $K[y]$
18186
Prove that ideal $I = \langle X^2,X+1\rangle$ is principal or not (in $\mathbb{Z}[X]$ and $\mathbb{Q}[X]$ )