Partially Ordered Monads

Ulrich Höhle
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Ulrich Höhle: Bergische Universität, Fachbereich Mathematik

Chapter Chapter 2 in Many Valued Topology and its Applications, 2001, pp 29-54 from Springer

Abstract: 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: For every C-object X the object T(X) is a partially ordered C -object. The clone-composition-function is isotone in both variables. For every C-object X the component µ X of the multiplication µ has a left adjoint C-morphism.

Keywords: Universal Property; Left Adjoint; Canonical Morphism; Galois Connection; Inclusion Functor (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1007/978-1-4615-1617-0_3

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