Algebra Solutions: Exhibit the elements of ZZ/(18) as sets

Write down explicitly all the elements in the residue classes of $\mathbb{Z}/(18)$ .

$\mathbb{Z}/(18)$ is as follows.

$\{ \{ 18k \ |\ k \in \mathbb{Z} \}, \{ 1+18k \ |\ k \in \mathbb{Z} \}, \{ 2+18k \ |\ k \in \mathbb{Z} \}$

$\{ 3+18k \ |\ k \in \mathbb{Z} \}, \{ 4+18k \ |\ k \in \mathbb{Z} \}, \{ 5+18k \ |\ k \in \mathbb{Z} \}$

$\{ 6+18k \ |\ k \in \mathbb{Z} \}, \{ 7+18k \ |\ k \in \mathbb{Z} \}, \{ 8+18k \ |\ k \in \mathbb{Z} \}$

$\{ 9+18k \ |\ k \in \mathbb{Z} \}, \{ 10+18k \ |\ k \in \mathbb{Z} \}, \{ 11+18k \ |\ k \in \mathbb{Z} \}$

$\{ 12+18k \ |\ k \in \mathbb{Z} \}, \{ 13+18k \ |\ k \in \mathbb{Z} \}, \{ 14+18k \ |\ k \in \mathbb{Z} \}$

$\{ 15+18k \ |\ k \in \mathbb{Z} \}, \{ 16+18k \ |\ k \in \mathbb{Z} \}, \{ 17+18k \ |\ k \in \mathbb{Z} \} \}.$

Algebra Solutions