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

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The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th
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The categories of this paper are: econ
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The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: stat
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The categories of this paper are: acc-phys
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The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
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The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom