Discrete equational theories

Jiří Rosický

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arXiv · 2204.02590

Discrete equational theories

Jiří Rosický

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Abstract

We introduce discrete equational theories where operations are induced by those having discrete arities. We characterize the corresponding monads as monads preserving surjections. Using it, we prove Birkhoff type theorems for categories of algebras of discrete theories. This extends known results from metric spaces to general symmetric monoidal closed categories.

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BibTeX RIS

Jiří Rosický. 2022-04-06. Discrete equational theories. https://arxiv.org/abs/2204.02590

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