Kleisli category

https://bartoszmilewski.com/2014/12/23/kleisli-categories/ https://ncatlab.org/nlab/show/Kleisli+category https://en.wikipedia.org/wiki/Kleisli_category

  • Kleisli category is a category naturally associated to any monad T

  • Kleisli category is equivalent to the category of free T-algebras

  • The Kleisli category is one of two extremal solutions to the question: does every monad arise from an adjunction? The other extremal solution is the Eilenberg-Moore category.

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