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bn:03119258n
Noun Concept
Categories: Category-theoretic categories, Monoidal categories, Objects (category theory)
EN
monoid  monoid object  category of monoids  comonoid  comonoid object
EN
In category theory, a branch of mathematics, a monoid in a monoidal category is an object M together with two morphisms μ: M ⊗ M → M called multiplication, η: I → M called unit,such that the pentagon diagram and the unitor diagram commute. Wikipedia
English:
category theory
Definitions
Relations
Sources
EN
In category theory, a branch of mathematics, a monoid in a monoidal category is an object M together with two morphisms μ: M ⊗ M → M called multiplication, η: I → M called unit,such that the pentagon diagram and the unitor diagram commute. Wikipedia
A mathematical structure used in category theory Wikipedia Disambiguation
IS A
object of a category
HAS PART
morphism
object of a category
HAS KIND
monoid
group object
commutative ring spectrum
STUDIED BY
category theory
Wikipedia
EN
monoid (category theory)
Wikidata
EN
monoid object
Wikipedia Redirections
EN
category of monoids, comonoid, comonoid object, monoid object
Wikidata Alias
EN
monoid

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