A Kleisli category is a construction in category theory that allows us to study monads by transforming a given category into a new one where morphisms represent computations with effects. In this new category, the objects remain the same as in the original category, while morphisms are reinterpreted to include the additional structure provided by the monad. This perspective is crucial for understanding how monads encapsulate computational contexts and can be linked to concepts like adjoint functors and free algebras.
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