nLab trivial algebra

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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

Last revised on March 17, 2023 at 15:16:00. See the history of this page for a list of all contributions to it.