# nLab trivial monoid

### Context

#### Monoid theory

monoid theory in algebra:

# Contents

## Definition

The trivial monoid is the unique (up to isomorphism) monoid with a single element - the neutral element of the monoid. The trivial monoid is also a terminal object and an initial object of Mon, making the trivial monoid a zero object of Mon.

## See also

Last revised on March 17, 2023 at 16:15:47. See the history of this page for a list of all contributions to it.