monoid

English

Etymology

mono- +‎ -oid

Noun

monoid (plural monoids)

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

Hypernyms

• category
• semigroup

Hyponyms

• bimonoid
• free monoid
• group

 

Derived terms

• bimonoid
• comonoid

 

Translations

type of set

• Chinese:

  Mandarin: 幺半群 (yāobànqún)

• Czech: monoid m
• Finnish: monoidi
• French: monoïde (fr) m
• German: Monoid n
• Icelandic: einungur m, hálfgrúpa með hlutleysu f
• (deprecated template usage) {{trans-mid}}
• Portuguese: monóide m
• Serbo-Croatian:

  Cyrillic: моноид m

  Latin: monoid m

• Swedish: monoid (sv) c
• Turkish: birlik (tr), monoid

See also

• Wikipedia article on monoids
• category

• groupoid
• loop
• magma

• quasigroup
• submonoid

Adjective

monoid (not comparable)

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

References

• monoid on Wikipedia.Wikipedia

Anagrams

• domino

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Czech

Noun

1. monoid

Further reading

• Template:R:KNLA

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Serbo-Croatian

Noun

monoid m (Cyrillic spelling моноид)

1. monoid