On the monadicity of finitary monads
Research Report 97-29
To appear in Journal of Pure and Applied Algebra
Date: 21 October 1997
In 1993, Kelly and Power showed that the category of finitary monads
on a locally finitely presentable category A is of descent type
over a power of A; here we establish the stronger result that the
forgetful functor in question is monadic. Both their result and ours
remain true in the V-enriched case for suitable monoidal categories
V. Generalizing further, we obtain a monadicity result for algebras
for an operad.
monad. locally presentable category. operad.
AMS Subject Classification (1991)
Secondary: 18C20, 18D20
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