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Monoid (category theory)

In category theory, a branch of mathematics, a monoid (or monoid object, or internal monoid, or algebra) ( M , μ , η ) {\displaystyle (M,\mu ,\eta )} in a monoidal category ( C , ⊗ , I ) {\displaystyle ({\mathcal {C}},\otimes ,I)} is an object M {\displaystyle M} together with two morphisms

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Monoid (category theory)

Nodes41
Edges40
Triples0
Avg. degree1.95
Density0.04878
Components1

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category monoid monoidal object displaystyle mathcal unit monoids mu product identity algebra structure induced eta multiplication morphism element comonoid commutative

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