What does the ideal $I$ of $\mathbb{Z}[X]$ generated by $x$ and $2$ look like?
120181
The ideal generated by $2$ and $ x$ in $\mathbb{Z}[x]$
17239
Find all ideals of ${\mathbb{Z}_n}$
112043
Show that the ideal $ (2, 1 + \sqrt{-7} ) $ in $ \mathbb{Z} [\sqrt{-7} ] $ is not principal
69352
Prove that $I= \{a+bi \in ℤ[i] : a≡b \pmod{2}\}$ is an maximal ideal of $ℤ[i]$.
78118
Algebraically, why is $\mathbb{Z}[i]/(i + 1)$ isomorphic to $\mathbb{Z}_{2}$?
31585
Primary ideals of $\mathbb{Z}$
89056
Intuitive understanding of ideal $I = (x+1,x^2+1)$ and the quotient $\Bbb Z[x]/I$
138572
Is $(xy-1)$ a maximal ideal in $\mathbb C[x,y]$?
80397
Show that this set of polynomials is ideal in F[x]
116430
If $I = \langle 2\rangle$, why is $I[x]$ not a maximal ideal of $\mathbb Z[x]$, even though $I$ is a maximal ideal of $\mathbb Z$?
108775
Identify the ring $\mathbb {Z}[i]/(2 + i) $
140553
An ideal which is not finitely generated
109691
When are kernels of homomorphisms on $\mathbb{Z}[x]$ principal ideals, and what does this have to do with Gauss's lemma?
151786
Proving that there is no ideal $I$ in $\mathbb{Z}[t]$ such that $\mathbb{Z}[t]/I \cong \mathbb{Q}$
87617
Ring of $\mathbb{Z}_2$-valued functions
111996
Maximal and Prime Ideal in Z
92822
Finite number of elements generating the unit ideal of a commutative ring