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What are the axioms of the diagrammatic calculus for containers?

Ahman et al. wrote about when a container is a comonad. Containers can also be monads, such as List. This means that we can take all containers that are endofunctors on Set and they live in the ...
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Transformation from the Bag monad to the List monad

The bag monad, sometimes called the multiset monad or free commutative monoid monad is a functor on Set that takes a set to its set of bags. These bags are like strings written in the elements of the ...
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When is a container a monad?

The category of polynomial functors on Set is equivalent to the category of containers. We have a prescription for when a container is a comonad. There are a few other questions that come to mind. ...
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