http://users.livejournal.com/_harmless_/ ([identity profile] http://users.livejournal.com/_harmless_/) wrote in [personal profile] winterkoninkje 2010-04-05 12:40 pm (UTC)

Indexed and Parameterized Monads

Your 1-monads are called Parameterized monads by category-extras. Your 2-monads are a subset of Indexed monads (which have ALSO been called parameterized monads by some folks). Dan Piponi gave a nice writeup on them fairly recently, including a category-index writer monad that precisely matches your specification.

-Edward Kmett
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