# nLab trivial algebra

### Context

#### Algebra

higher algebra

universal algebra

# 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

Last revised on April 17, 2018 at 09:19:15. See the history of this page for a list of all contributions to it.