It is well known that for every monad T, we can consider the Eilenberg-Moore-Category and get an adjunction which induces T, similar for the Kleisli-Category. But since every adjunction induces a Comonad as well, my question is what are the Comonads in the Eilenberg-Moore-Category resp. the Kleisli-Category that are induced by T in this way?
2026-03-25 17:33:22.1774460002
Induced Comonad of a Monad on the Eilenberg-Moore and the Kleisli category
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