Abstract
It is our intention to introduce a partially ordered monad as a monad T = (T, η µ) in a given base category C provided with the following additional properties:
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For every C-object X the object T(X) is a partially ordered C -object.
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The clone-composition-function is isotone in both variables.
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For every C-object X the component µ X of the multiplication µ has a left adjoint C-morphism.
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© 2001 Springer Science+Business Media New York
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Höhle, U. (2001). Partially Ordered Monads. In: Many Valued Topology and its Applications. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-1617-0_3
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DOI: https://doi.org/10.1007/978-1-4615-1617-0_3
Publisher Name: Springer, Boston, MA
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