Monoid

//ˈmɒnɔɪd// adj, noun

adj, noun ·Rare ·Advanced level

Definitions

Noun
  1. 1
    A set which is closed under an associative binary operation, and which contains an element which is an identity for the operation.

    "Just like any abstraction, a monoid is useful to the extent we can write useful generic code assuming only the capabilities provided by the abstraction."

Adjective
  1. 1
    Containing only one kind of metrical foot. not-comparable

Example

More examples

"A monad is a monoid in the category of endofunctors."

Etymology

From mono- + -oid.

Related phrases

binary operationmetrical foot

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Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.