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I have a 200 point bounty on a question over at Math Overflow. It's just asking to see details of the algebra for an endofunctor. Here is the link
What do you mean exactly by "I would like to know about the algebra for this endofunctor composition"?
I think Ben means an explicit nuts-and-bolts description of the algebras of the composite.
But this is a bit weird, isn't it? Algebras for the multiset functor are... what? A kind of unbiased, non-associative monoid? @Ben Sprott, how sure are you that this is really what you want?