State monads and their algebras
Category Theory
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.math/0407251,
title = {State monads and their algebras},
author = {Francois Metayer},
journal= {arXiv preprint arXiv:math/0407251},
year = {2007}
}
Comments
16 pages, XYpic diagrams