Exercise 0.3.1 (Elements of $\mathbb{Z}/ 18 \mathbb{Z}$)

Question

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

Richard Ganaye · Accepted Answer

begin{proof} 
In $\mathbb{Z}/ 18 \mathbb{Z}$,
\begin{align*}
\overline{n} &= \{ m \in \Z \mid m \equiv n \pmod {18}\}\
&= \{n + 18 k, \ k \in \Z\}
\end{align*}
For instance,
$$\overline{3} = \{3, 21, 39, \ldots\} \cup \{-15, -33, \ldots \}.$$
\end{proof}

Exercise 0.3.1 (Elements of $\mathbb{Z}/ 18 \mathbb{Z}$)

Answers

Comments

Exercise 0.3.1 (Elements of $\mathbb{Z}/ 18 \mathbb{Z}$)

Answers

Comments

Add answer