i wrote "a multiset of primes", but then i noticed that's just "a number"
1) multisets on the set S are elements of the semiring IN{S}, having a separate nonalgebraic notation is dumb
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2) partitions are preimages wrt addition, this is similar to how coalgebra makes sense for multisets but not for sets
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and i like hopf algebras
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ugh i meant module over a semiring
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Confused, what's multiplication here? Anyway disagree, don't always want the extra structure, also can have infinite multisets.
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