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arXiv · 2508.17794

Idempotence for relative monads

Nathanael Arkor·Andrew Slattery
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Abstract

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.

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Nathanael Arkor, Andrew Slattery. 2025-08-25. Idempotence for relative monads. https://arxiv.org/abs/2508.17794

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