Monads on higher monoidal categories
Category Theory
2017-01-12 v1
Abstract
We study the action of monads on categories equipped with several monoidal structures. We identify the structure and conditions that guarantee that the higher monoidal structure is inherited by the category of algebras over the monad. Monoidal monads and comonoidal monads appear as the base cases in this hierarchy. Monads acting on duoidal categories constitute the next case. We cover the general case of -monoidal categories and discuss several naturally occurring examples in which .
Cite
@article{arxiv.1701.03028,
title = {Monads on higher monoidal categories},
author = {Marcelo Aguiar and Mariana Haim and Ignacio Lopez Franco},
journal= {arXiv preprint arXiv:1701.03028},
year = {2017}
}
Comments
44 pages