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arXiv · 2011.14796

Finitary Monads on the Category of Posets

Jiří Adámek·Chase Ford·Stefan Milius·Lutz Schröder
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Abstract

Finitary monads on $\mathsf{Pos}$ are characterized as the precisely the free-algebra monads of varieties of algebras. These are classes of ordered algebras specified by inequations in context. Analagously, finitary enriched monads on $\mathsf{Pos}$ are characterized: here we work with varieties of coherent algebras which means that their operations are monotone.

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Jiří Adámek, Chase Ford, Stefan Milius, Lutz Schröder. 2020-11-30. Finitary Monads on the Category of Posets. https://arxiv.org/abs/2011.14796

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