- #1

SMA_01

- 218

- 0

**How to show this is a homomorphism?**

## Homework Statement

Let θ: Z6→Z2 be given by θ(x)=the remainder of x when divided by 2 (as in the division algorithm)

## Homework Equations

## The Attempt at a Solution

I am stuck, this is all I have:

Let m,n be in Z6

θ(m +6 n)...

I'm not sure how to proceed. Any help is appreciated. Thanks