Polyad

In mathematics, polyad is a concept of category theory introduced by Jean Bénabou in generalising monads.

[1] A polyad in a bicategory D is a bicategory morphism Φ from a locally punctual bicategory C to D, Φ : C → D. (A bicategory C is called locally punctual if all hom-categories C(X,Y) consist of one object and one morphism only.)

Monads are polyads Φ : C → D where C has only one object.

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