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arXiv · 2205.07664

Promonads and String Diagrams for Effectful Categories

Mario Román
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Abstract

Premonoidal and Freyd categories are both generalized by non-cartesian Freyd categories: effectful categories. We construct string diagrams for effectful categories in terms of the string diagrams for a monoidal category with a freely added object. We show that effectful categories are pseudomonoids in a monoidal bicategory of promonads with a suitable tensor product.

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Mario Román. 2022-05-16. Promonads and String Diagrams for Effectful Categories. https://doi.org/10.4204/eptcs.380.20

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