Hw12 Problem 2

Return to Homework 12, Homework Problems, Glossary, Theorems

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.
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