State monads and their algebras

Details State monads and their algebras State monads and their algebras

2004-07-14

arxiv.org/abs/math/0407251v1

Mathematics

Category Theory

16 pages, XYpic diagrams

Scientific paper

State monads in cartesian closed categories are those defined by the familiar
adjunction between product and exponential. We investigate the structure of
their algebras, and show that the exponential functor is monadic provided the
base category is sufficiently regular, and the exponent is a non-empty object.

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