Commutative graded monads
Category Theory
2022-04-05 v1
Abstract
It is well-known that the category of Kleisli algebras for a monoidal monad carries a canonical monoidal structure. We define the notion of a commutative graded monad and present a strictly two-categorical proof that Kleisli algebras for such monads equally carry a canonical monoidal structure which reduce to the monoidal monad case when the commutative graded monad in question is graded over the trivial monoidal category.
Cite
@article{arxiv.2204.01634,
title = {Commutative graded monads},
author = {Rowan Poklewski-Koziell},
journal= {arXiv preprint arXiv:2204.01634},
year = {2022}
}