On the Centre of Strong Graded Monads
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866918335302598656 |
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| author | Breuvart, Flavien Long, Quan Zamdzhiev, Vladimir |
| author_facet | Breuvart, Flavien Long, Quan Zamdzhiev, Vladimir |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_09780 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the Centre of Strong Graded Monads Breuvart, Flavien Long, Quan Zamdzhiev, Vladimir Category Theory 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. |
| title | On the Centre of Strong Graded Monads |
| topic | Category Theory |
| url | https://arxiv.org/abs/2602.09780 |