Hask
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Hask is the name usually given to the category having Haskell types as objects and Haskell functions between them as morphisms.
A type-constructor that is an instance of the Functor class is an endofunctor on Hask.
The seq problem
The right identity law fails in Hask if we distinguish values which can be distinguished by seq, since:
id . undefined = \x -> id (undefined x) = \x -> undefined x
should be equal to undefined, but can be distinguished from it using seq:
ghci> (undefined :: Int -> Int) `seq` () * Exception: Prelude.undefined ghci> (id . undefined :: Int -> Int) `seq` () ()
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