Work

State monads and their algebras

Year: 2004
Type: preprint
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.
Language: English
Open Access status: green
OpenAlex ID: W1553024573
Cites: 5
Cited by: 7
Related to: 20