monoid

See also: Monoid

English

Etymology

From mono- +‎ -oid.

Pronunciation

• IPA^(key): /ˈmɒnɔɪd/

• Audio (US):

  (file)

Noun

monoid (plural monoids)

1. (algebra, functional programming) A set which is closed under an associative binary operation, and which contains an element which is an identity for the operation.
   • 2023, Michael Pilquist, Rúnar Bjarnason, Paul Chiusano, Functional programming with Scala, Second edition, Shelter Island: Manning Publications Co, →ISBN:

     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.

Hypernyms

• category
• semigroup

Hyponyms

• bimonoid
• free monoid
• group

Derived terms

• bimonoid
• comonoid
• Frobenioid
• monoidal
• pseudomonoid
• submonoid

Translations

type of set

Chinese: Mandarin: 幺半群 (yāobànqún) Czech: monoid m Finnish: monoidi (fi) French: monoïde (fr) m German: Monoid (de) n Hindi: एकाभ (ekābh) Icelandic: einungur m, hálfgrúpa með hlutleysu f Portuguese: monóide m Serbo-Croatian: Cyrillic: моноид m Latin: monoid m Spanish: monoide m Swedish: monoid (sv) c Turkish: birlik (tr), monoid (tr)

See also

• category
• groupoid
• loop
• magma
• quasigroup

Adjective

monoid (not comparable)

1. (prosody) Containing only one kind of metrical foot.

Further reading

• monoid on Wikipedia.Wikipedia

Anagrams

• domino

Czech

Pronunciation

• IPA^(key): [ˈmonoɪt]

Noun

monoid m inan

1. monoid

Declension

Declension of monoid (hard masculine inanimate)

	singular	plural
nominative	monoid	monoidy
genitive	monoidu	monoidů
dative	monoidu	monoidům
accusative	monoid	monoidy
vocative	monoide	monoidy
locative	monoidu	monoidech
instrumental	monoidem	monoidy

Further reading

• “monoid”, in Kartotéka Novočeského lexikálního archivu (in Czech)

Serbo-Croatian

Noun

monoid m inan (Cyrillic spelling моноид)

1. monoid