how to show that I is an ideal of Z[x]
87078
Prove the following set is an ideal of the ring $Z[x]$
18186
Prove that ideal $I = \langle X^2,X+1\rangle$ is principal or not (in $\mathbb{Z}[X]$ and $\mathbb{Q}[X]$ )
102553
How to show that $f(z) = f(i)$
73417
$Rad(I)$ is an ideal of $R$
36150
Ideal in a ring of continuous functions
116943
Proof for maximal ideals in $\mathbb{Z}[x]$
83050
Show that $P[x]+\langle x\rangle $ is a prime ideal of $R[x]$.
20877
The set of all nilpotent elements is an ideal
146304
prove $(n)$ prime ideal of $\mathbb{Z}$ iff $n$ is prime or zero
138168
Prove: The pre-image of an ideal is an ideal.
1720
Show that $\langle 2,x \rangle$ is not a principal ideal in $\mathbb Z [x]$
104784
On the grade of an ideal
108896
Prime ideal in a polynomial ring over an integrally closed domain
121995
Hilbert's Nullstellensatz implies $I(Z(I)) = \sqrt{I}$
40705
If $M$ is an $R$-module and $I\subseteq\mathrm{Ann}(M)$ an ideal, then $M$ has a structure of $R/I$-module
129371
Maximal ideals in the ring of real functions on $[0,1]$
76661
Checking the maximality of a principal ideal in $R[x]$