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premonoidal categories are monoidal categories without the interchange law

premonoidal categories are monoidal categories without the interchange law

Apr 29, 20251 min read

Premonoidal categories are monoidal categories without the interchange law. This is a statement about their internal languages. The internal language of premonoidal categories is linear do-notation; while the internal language of monoidal categories is linear do-notation quotiented by interchange.


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