# Trivial algebras

## Definition

Every algebraic category (in just about any sense of the term) has a terminal object which is usually called the trivial algebra, often denoted $0$ or $1$. Its underlying set is a singleton, and every algebraic operation $1^n \to 1$ is the unique function to the singleton set.

## Examples

Created on September 4, 2010 19:16:36 by Toby Bartels (173.190.156.19)