Hw12 Problem 2

Problem: Describe all units in the given ring:

1. (+) $\mathbb{Z}_6$
2. $\mathbb{Z} \times \mathbb{Z} \times \mathbb{Q}$

Solution:

1. 1 and 5
2. All units have the form $(1,1,\frac{p}{q})$ where $p$ and $q$ are non-zero integers.