Some Remarks on Finitary and Iterative Monads

Author: Adámek J.  

Publisher: Springer Publishing Company

ISSN: 0927-2852

Source: Applied Categorical Structures, Vol.11, Iss.6, 2003-12, pp. : 521-541

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Abstract

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