Algebraically, why is $\mathbb{Z}[i]/(i + 1)$ isomorphic to $\mathbb{Z}_{2}$?
91622
Help with proof that $\mathbb Z[i]/\langle 1 - i \rangle$ is a field.
118299
Show that $(\mathbb{Z}[x]/(x^{n+1}))^{\times}\cong \mathbb{Z}/2\mathbb{Z}\times\Pi_{i=1}^n\mathbb{Z}$
41069
Justifying $\,\Bbb{Z}[i]/\langle 2\rangle\cong \Bbb{Z}[X]/\langle X^2+1,2\rangle\cong \Bbb{F}_2[X]/\langle X^2+1\rangle$
135241
Show that $\mathbb{Z}/n^2\mathbb{Z}$ is not isomorphic to other group
75970
$\mathbb Z[1/2]$ is not finitely generated?
66313
$\mathbb{Z}[i]/(a+bi) \cong \mathbb{Z}_{a^2+b^2}$ if $(a,b)=1$
17978
Isomorphism classes of $\mathbb{Z}[i]$ modules.
124864
A not free $\mathbb{Z}$-module
148101
Basis for $\mathbb{Z}^2$
30404
Is $\mathbb{Z}/3\otimes \mathbb{Z}[1/2]=\mathbb{Z}/3$?
59995
Isomorphism between $\mathbb{C}^* $ under multiplication with $\mathbb{C}$ under addition.
77903
Finding the integral closure of $\mathbb{Z}$ in $\mathbb{Q}[i]$
19310
Identify the ring $\mathbb{Z}[x]/(2x)$
120594
$\mathbb Z[i]/ \langle 1+2i \rangle \cong \mathbb Z_5$
36137
Prove $GL_2(\mathbb{Z}/2\mathbb{Z})$ is isomorphic to $S_3$
42810
Is $(\mathbb{Q},+)$ isomorphic to $(\mathbb{Q}^n,+)$?
8434
Order of $\mathbb{Z}[i]/(1+i)$