Idempotence for relative monads
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909778054217728 |
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| author | Arkor, Nathanael Slattery, Andrew |
| author_facet | Arkor, Nathanael Slattery, Andrew |
| contents | We study the concept of idempotence for relative monads, which exhibits several subtleties not present for non-relative monads. In particular, there is a bifurcation of notions of idempotence in the relative setting, which are indistinguishable for idempotent monads. As a special case, we obtain several characterisations of idempotence for monads in extension form. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_17794 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Idempotence for relative monads Arkor, Nathanael Slattery, Andrew Category Theory 18C15, 18C20 We study the concept of idempotence for relative monads, which exhibits several subtleties not present for non-relative monads. In particular, there is a bifurcation of notions of idempotence in the relative setting, which are indistinguishable for idempotent monads. As a special case, we obtain several characterisations of idempotence for monads in extension form. |
| title | Idempotence for relative monads |
| topic | Category Theory 18C15, 18C20 |
| url | https://arxiv.org/abs/2508.17794 |