On the Centre of Strong Graded Monads

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Flavien Breuvart, Quan Long, Vladimir Zamdzhiev
DOI: 10.48550/arxiv.2602.09780
Cited by: 0

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.

Fields of Study & Subjects

Logic programming and type systems Homotopy and Cohomology in Algebraic Topology Advanced Algebra and Logic

Publication details

Journal / source
arXiv (Cornell University)
Publication date
10 February 2026
Language
EN
Document type
Preprint