Introduces premonoidal double categories and funny monoidal structures, proving equivalences to monoidal double categories and 1-1 correspondences for horizontal strengths on double monads.
Femi´ c, Gray (skew) multicategories for double and Gray-categorie s, arxiv .org/abs/2408.00561
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Premonoidal and Kleisli double categories
Introduces premonoidal double categories and funny monoidal structures, proving equivalences to monoidal double categories and 1-1 correspondences for horizontal strengths on double monads.