$\mathbb{Z}/\mathbb{nZ}$ admits idempotents
102112
Idempotents in $\mathbb Z_n$
108775
Identify the ring $\mathbb {Z}[i]/(2 + i) $
8434
Order of $\mathbb{Z}[i]/(1+i)$
32741
Idempotents in a ring without unity (rng) and no zero divisors.
49578
Proving $a\mathbb{Z}\cap b\mathbb{Z}=[a,b]\mathbb{Z}$
90239
$\mathbb{Z} \times \mathbb{Z}$ is cyclic.
77903
Finding the integral closure of $\mathbb{Z}$ in $\mathbb{Q}[i]$
52354
Given a idempotent endomorphism, show that $M = \ker(f) \oplus \ker (f-\text{id}_M)$
50412
Prime elements in $\mathbb{Z}/n\mathbb{Z}$
146980
Zero divisors of $\mathbb{Z}×\mathbb{Z}×\mathbb{Z}$
143831
Showing $\mathbb{Q}$ is homeomorphic to $\mathbb{Q}^2$
148550
Units in quotient ring of $\mathbb Z[X]$
84823
When is the group of units in $\mathbb{Z}_n$ cyclic?
66020
What is $\mathbb Z[[t]]$? What are the double brackets?
116943
Proof for maximal ideals in $\mathbb{Z}[x]$
118299
Show that $(\mathbb{Z}[x]/(x^{n+1}))^{\times}\cong \mathbb{Z}/2\mathbb{Z}\times\Pi_{i=1}^n\mathbb{Z}$
18018
Proving that $4 \mid m - n$ is an equivalence relation on $\mathbb{Z}$