Monoid

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Wiktionary, Creative Commons Attribution/Share-Alike License
  • n. A set which is closed under an associative binary operation, and which contains an element which is an identity for the operation.
    • The Century Dictionary and Cyclopedia
  • In ancient prosody, containing but one kind of foot: noting certain meters. Monoid meters are also called pure meters or simple meters, and distinguished from compound (episynthetic) meters and mixed or logaœdic meters.
  • n. In mathematics, a surface which possesses a conical point of the highest possible (n —1)th order.
    • Word Usage
    "Insights from category theory, in particular the expression of a variety as a monad, defined as a monoid object in the category"
    Cross Reference
    category    submonoid    magma    loop    semigroup   
     
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