nLab
trivial 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 00 or 11. Its underlying set is a singleton, and every algebraic operation 1 n11^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)