Hw2 Problem 11

Return to Homework 2, Glossary, Theorems

Problem 11

Prove or give a counterexample: Every binary operation on a set consisting of a single element is both commutative and associative


If a set $S$ has only element $a$, then $a$ is the result of any binary operation, meaning any operation is commutative and associative.

Unless otherwise stated, the content of this page is licensed under Creative Commons Attribution-ShareAlike 3.0 License