Distributive Laws for Relative Monads

نویسندگان

چکیده

We introduce the notion of a distributive law between relative monad and monad. call this define it in any 2-category $\mathcal{K}$. In order to do that, we monads $\mathcal{K}$ with morphisms transformations as 1- 2-cells, respectively. relate our definition defined by Street. Thanks view prove two Beck-type theorems regarding laws. also describe what does mean have Eilenberg-Moore Kleisli objects context give examples locally small categories.

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ژورنال

عنوان ژورنال: Applied Categorical Structures

سال: 2023

ISSN: ['1572-9095', '0927-2852']

DOI: https://doi.org/10.1007/s10485-023-09716-1