Applied Categorical Structures

, Volume 11, Issue 6, pp 521–541 | Cite as

Some Remarks on Finitary and Iterative Monads

  • Jiří Adámek
  • Stefan Milius
  • Jiří Velebil


For every locally finitely presentable category A we introduce finitary Kleisli triples on A and show that they bijectively correspond to finitary monads on A. We illustrate this on free monads and free iterative monads.

monad monoid Kleisli triple 


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Copyright information

© Kluwer Academic Publishers 2003

Authors and Affiliations

  • Jiří Adámek
    • 1
  • Stefan Milius
    • 1
  • Jiří Velebil
    • 1
  1. 1.Institute of Theoretical Computer ScienceTechnical UniversityBraunschweigGermany

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