On the Centre of Strong Graded Monads
Category Theory
2026-02-16 v2
Abstract
We introduce the notion of 'centre' for pomonoid-graded strong monads which generalizes some previous work that describes the centre of (not graded) strong monads. We show that, whenever the centre exists, this determines a pomonoid-graded commutative submonad of the original one. We also discuss how this relates to duoidally-graded strong monads.
Cite
@article{arxiv.2602.09780,
title = {On the Centre of Strong Graded Monads},
author = {Flavien Breuvart and Quan Long and Vladimir Zamdzhiev},
journal= {arXiv preprint arXiv:2602.09780},
year = {2026}
}
Comments
arXiv admin note: text overlap with arXiv:2406.07216 by other authors