DISTRIBUTIVE LAWS AND FACTORIZATION Dedicated to Max Kelly on his th birthday

@inproceedings{Rosebrugh2006DISTRIBUTIVELA,
  title={DISTRIBUTIVE LAWS AND FACTORIZATION Dedicated to Max Kelly on his th birthday},
  author={Robert D. Rosebrugh},
  year={2006}
}
This article shows that the distributive laws of Beck in the bicategory of sets and matrices wherein monads are categories determine strict factorization systems on their composite monads Conversely it is shown that strict factorization systems on categories give rise to distributive laws Moreover these processes are shown to be mutually inverse in a precise sense Strict factorization systems are shown to be the strict algebras for the monad on the category of categories Further an extension of… CONTINUE READING

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