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math.CTSep 6, 2017
23
citations (OpenAlex)
authors
  • John Bourke
  • Stephen Lack
institutions
  • Macquarie University
arXiv abstractPDF
paper

Skew monoidal categories and skew multicategories

arXiv:1708.06088 · doi:10.1016/j.jalgebra.2018.02.039

Abstract

We describe a perfect correspondence between skew monoidal categories and certain generalised multicategories, called skew multicategories, that arise in nature.

v2: updated reference

References in corpus (5)

  • Skew monoidales, skew warpings and quantum categories
  • Closed categories vs. closed multicategories
  • Monads on higher monoidal categories
  • Skew-monoidal reflection and lifting theorems
  • Braided skew monoidal categories

Cited by in corpus (12)

  • The formal theory of relative monads
  • Proof Theory of Partially Normal Skew Monoidal Categories
  • Proof Theory of Skew Non-Commutative MILL
  • Braided skew monoidal categories
  • Semi-Substructural Logics à la Lambek
  • LNL polycategories and doctrines of linear logic
  • How strict is strictification?
  • Semi-Substructural Logics with Additives
  • Deductive Systems and Coherence for Skew Prounital Closed Categories
  • A sequent calculus for a semi-associative law
  • What is a monoid?
  • Proceedings Fifteenth Workshop on Logical Frameworks and Meta-Languages: Theory and Practice
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