monoid

M3O1N1O1I1D2
/ˈmɒnɔɪd/

noun

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

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Meanings

nounmonoid (plural monoids)

plural monoids

  1. functional programmingalgebraA 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.

    2023, Michael Pilquist, Rúnar Bjarnason, Paul Chiusano, Functional programming with Scala, Second edition, Shelter Island: Manning Publications Co, →ISBN
adjectivemonoid (not comparable)
  1. not comparablehuman sciencesContaining only one kind of metrical foot.

Origin

From mono- + -oid.

Full word history & related roots →

Translations

Chinese Mandarin 幺半群
  • 幺半群 (yāobànqún)type of set
Czech monoid
  • monoidtype of set
Finnish monoidi
  • monoiditype of set
French monoïde
  • monoïdetype of set
German Monoid
  • Monoidtype of set
Hindi एकाभ
  • एकाभ (ekābh)type of set
Icelandic einungur, hálfgrúpa með hlutleysu
  • einungurtype of set
  • hálfgrúpa með hlutleysutype of set
Polish monoid
  • monoidtype of set
Portuguese monóide
  • monóidetype of set
Spanish monoide
  • monoidetype of set
Swedish monoid
  • monoidtype of set
Turkish birlik, monoid
  • birliktype of set
  • monoidtype of set

Rhymes & wordplay

Anagrams

domino
Cite this entry
APA

monoid. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/monoid

MLA

“monoid.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/monoid. Accessed November 2, 2026.

Chicago

WatkinsX Dictionary, s.v. “monoid,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/monoid.

Source: monoid on Wiktionary, CC BY-SA 4.0.