Free skew monoidal categories

John Bourke; Stephen Lack

doi:10.1016/j.jpaa.2017.12.006

Free skew monoidal categories

John Bourke^*, Stephen Lack

^*Corresponding author for this work

Research output: Contribution to journal › Article

2 Citations (Scopus)

Abstract

In the paper Triangulations, orientals, and skew monoidal categories, the free skew monoidal category Fsk on a single generating object was described. We sharpen this by giving a completely explicit description of Fsk, and so of the free skew monoidal category on any category. As an application we describe adjunctions between the operad for skew monoidal categories and various simpler operads. For a particular such operad L, we identify skew monoidal categories with certain colax L-algebras.

Original language	English
Pages (from-to)	3255-3281
Number of pages	27
Journal	Journal of Pure and Applied Algebra
Volume	222
Issue number	10
Early online date	21 Dec 2017
DOIs	https://doi.org/10.1016/j.jpaa.2017.12.006
Publication status	Published - Oct 2018

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10.1016/j.jpaa.2017.12.006

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title = "Free skew monoidal categories",

abstract = "In the paper Triangulations, orientals, and skew monoidal categories, the free skew monoidal category Fsk on a single generating object was described. We sharpen this by giving a completely explicit description of Fsk, and so of the free skew monoidal category on any category. As an application we describe adjunctions between the operad for skew monoidal categories and various simpler operads. For a particular such operad L, we identify skew monoidal categories with certain colax L-algebras.",

author = "John Bourke and Stephen Lack",

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AB - In the paper Triangulations, orientals, and skew monoidal categories, the free skew monoidal category Fsk on a single generating object was described. We sharpen this by giving a completely explicit description of Fsk, and so of the free skew monoidal category on any category. As an application we describe adjunctions between the operad for skew monoidal categories and various simpler operads. For a particular such operad L, we identify skew monoidal categories with certain colax L-algebras.

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DO - 10.1016/j.jpaa.2017.12.006

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VL - 222

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EP - 3281

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

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