0927-2852
Exponential Kleisli Monoids as Eilenberg-Moore Algebras
Hofmann
Dirk
Univ Aveiro, Dept Matemat, CIDMA, P-3810193 Aveiro, Portugal
Mynard
Frederic
Georgia So Univ, Dept Math Sci, Statesboro, GA 30460 USA
Seal
Gavin J.
2015
Lax monoidal powerset-enriched monads yield a monoidal structure on the category of monoids in the Kleisli category of a monad. Exponentiable objects in this category are identified as those Kleisli monoids with algebraic structure. This result generalizes the classical identification of exponentiable topological spaces as those whose lattice of open subsets forms a continuous lattice.
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