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arXiv · 2602.09780

On the Centre of Strong Graded Monads

Flavien Breuvart·Quan Long·Vladimir Zamdzhiev
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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.

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Flavien Breuvart, Quan Long, Vladimir Zamdzhiev. 2026-02-10. On the Centre of Strong Graded Monads. https://arxiv.org/abs/2602.09780

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