The ring $\mathbb{Z}_2 \times \mathbb{Z}_2$ is a domain
25397
Prove $R \times R$ is NOT an integral domain
127978
Another point of view that $\mathbb{Z}/m\mathbb{Z} \times\mathbb{Z}/n\mathbb{Z}$ is cyclic.
144789
identify the ring $\mathbb{Z}[x]/(2x-1)$
7828
Proof that an integral domain that is a finite-dimensional $F$-vector space is in fact a field
118073
Is the ring $m\mathbb{Z}$ isomorphic to the ring $n\mathbb{Z}$?
75068
subgroups of $\mathbb Z / 2 \mathbb Z \times \mathbb Z / 2 \mathbb Z$
57669
A proof that $\mathbb{Z}_{p}$ is an integral domain if and only if $p$ is prime.
118299
Show that $(\mathbb{Z}[x]/(x^{n+1}))^{\times}\cong \mathbb{Z}/2\mathbb{Z}\times\Pi_{i=1}^n\mathbb{Z}$
146470
Show $\mathbb{Z}[\sqrt{6}]$ is a Euclidean domain
87078
Prove the following set is an ideal of the ring $Z[x]$
148633
Description of varieties in $\mathbb{P}^2\times \mathbb{P}^1$
148550
Units in quotient ring of $\mathbb Z[X]$
102721
Number of elements in the ring $\mathbb Z [i]/\langle 2+2i\rangle$
120035
Pattern in Isomorphisms between $\mathbb Z_m \times \mathbb Z_n$ and $\mathbb Z_{mn}$
92517
Easy way to show that $\mathbb{Z}[\sqrt[3]{2}]$ is the ring of integers of $\mathbb{Q}[\sqrt[3]{2}]$
74139
Subrings of integral domains have the same identity element.
104486
Ideal in $\mathbb Z[x]$ which is not two-generated