On the monadicity of finitary monads (Q1300653)

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scientific article; zbMATH DE number 1330826
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On the monadicity of finitary monads
scientific article; zbMATH DE number 1330826

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    On the monadicity of finitary monads (English)
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    1 September 1999
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    The main result is that the category of finitary monads on a locally finitely presentable category is monadic over some power of that category. An enriched version is also given. Monads are monoids in an endo-functor category, and monoids are algebras for a suitable operad; the author generalizes his main result to the case of algebras for an operad.
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    monadicity
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    algebras for operad
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    finitary monads
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    locally finitely presentable category
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    endo-functor category
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