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Pseudomonad

Noun

Definitions

1.NounAny of many bacteria of the family Pseudomonadaceae, some of which are pathogenic
2.NounA weak generalization of a monad on a Gray-category or 2-category (or more generally a weak 2-category) C {\displaystyle {\mathcal {C}}} consists of a 2-functor (in particular, if it is a functor on a weak 2-category, it is a pseudo-functor) T : C → C {\displaystyle T:{\mathcal {C}}\rightarrow {\mathcal {C}}} equipped with pseudonatural transformations μ : T 2 → T {\displaystyle \mu :T^{2}\rightarrow T} and η : I d → T {\displaystyle \eta :\mathrm {Id} \rightarrow T} which satisfy the monad laws up to coherent invertible modifications.This term needs a definition. Please help out and add a definition, then remove the text {{rfdef}}.
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