Concept information
Terme préférentiel
monoid
Définition
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In abstract algebra, a branch of mathematics, a monoid is a set equipped with an associative binary operation and an identity element. For example, the nonnegative integers with addition form a monoid, the identity element being 0.
Monoids are semigroups with identity. Such algebraic structures occur in several branches of mathematics.
The functions from a set into itself form a monoid with respect to function composition. More generally, in category theory, the morphisms of an object to itself form a monoid, and, conversely, a monoid may be viewed as a category with a single object.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Monoid)
Concept générique
Traductions
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français
URI
http://data.loterre.fr/ark:/67375/PSR-VPJ63Q38-D
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