We pursue distributive laws between monads, particularly in the context of KZ-doctrines, and show that a very basic distributive law has (constructively) completely distributive lattices for its algebras. Moreover, the resulting monad is shown to be also the double dualization monad (with respect to the subobject classifier) on ordered sets. © 2001 Published by Elsevier Science B.V.
Marmolejo, F., Rosebrugh, R. D., & Wood, R. J. (2002). A basic distributive law. Journal of Pure and Applied Algebra, 168(2–3), 209–226. https://doi.org/10.1016/S0022-4049(01)00097-4