H and Q commute on well-filtered dcpo L iff L satisfies (KC) and Scott topology coincides with upper Vietoris on Q(L); the composed monad's Eilenberg-Moore category is a subcategory of Frm.
Kock, Monads for which structures are adjoint to units, Journal of Pure and Applied Algebra, 104 (1995): 41-59
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Commutation of Smyth and Hoare Power Constructions in Well-filtered Dcpos
H and Q commute on well-filtered dcpo L iff L satisfies (KC) and Scott topology coincides with upper Vietoris on Q(L); the composed monad's Eilenberg-Moore category is a subcategory of Frm.