Proving that there is no ideal $I$ in $\mathbb{Z}[t]$ such that $\mathbb{Z}[t]/I \cong \mathbb{Q}$
97009
Image of ring homomorphism $\phi : \mathbb{Z}[t] \to \mathbb{Q}$?
120181
The ideal generated by $2$ and $ x$ in $\mathbb{Z}[x]$
59134
Proving idempotent elements in $\mathbb{Z}_n$
24259
Quotient ring of $T/I$
85586
Proving $\mathbb{Q}$ isn't homeomorphic to $\mathbb{Z}$
63478
Is $\mathbb{Q}(\sqrt{2}) \cong \mathbb{Q}(\sqrt{3})$?
135241
Show that $\mathbb{Z}/n^2\mathbb{Z}$ is not isomorphic to other group
133019
Nilpotent elements in $\mathbb Z_n$
45484
Height unmixed ideal and a non-zero divisor
17239
Find all ideals of ${\mathbb{Z}_n}$
81982
Is $\mathbb{Z}[x]$ a principal ideal domain?
99715
Proper ideal and units proof
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 $\mathbb Z$?
30752
Proof of $(\mathbb{Z}/m\mathbb{Z}) \otimes_\mathbb{Z} (\mathbb{Z} / n \mathbb{Z}) \cong \mathbb{Z}/ \gcd(m,n)\mathbb{Z}$
69373
Prove that $(0)$ is a radical ideal in $\mathbb{Z}/n\mathbb{Z}$ iff $n$ is square free
55050
How to show that $\mathbb{Q}(i,\sqrt[4]{1+i} )$ is not contained in any cyclotomic extension of $\mathbb{Q}(i)$?
252
Why doesn't $0$ being a prime ideal in $\mathbb Z$ imply that $0$ is a prime number?