Skew monoidal categories and skew multicategories
John Bourke, Stephen Lack

TL;DR
This paper establishes a precise correspondence between skew monoidal categories and a new class of generalized multicategories called skew multicategories, which naturally occur in mathematical contexts.
Contribution
It introduces skew multicategories and proves a perfect correspondence with skew monoidal categories, expanding the understanding of their structural relationship.
Findings
Skew multicategories generalize multicategories in a natural way.
A bijective correspondence between skew monoidal categories and skew multicategories is demonstrated.
The framework applies to various mathematical structures in nature.
Abstract
We describe a perfect correspondence between skew monoidal categories and certain generalised multicategories, called skew multicategories, that arise in nature.
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