Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8897404 | Journal of Pure and Applied Algebra | 2018 | 27 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
John Bourke, Stephen Lack,