Remarks on units of skew monoidal categories

Jim Andrianopoulos

doi:10.1007/s10485-016-9468-5

Remarks on units of skew monoidal categories

Jim Andrianopoulos^*

^*Corresponding author for this work

Faculty of Science and Engineering

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

This article shows that the axioms of a skew monoidal category are independent and that its unit is unique up to a unique isomorphism together with an analogue of this result for monoidal functors between skew monoidal categories. It is also noted that these results carry over to skew monoidales before some benefits of certain extra structure on the unit maps of a skew monoidal category are discussed.

Original language	English
Pages (from-to)	863-873
Number of pages	11
Journal	Applied Categorical Structures
Volume	25
Issue number	5
DOIs	https://doi.org/10.1007/s10485-016-9468-5
Publication status	Published - Oct 2017

Keywords

Skew
Monoidal categories
Units

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10.1007/s10485-016-9468-5

Cite this

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AB - This article shows that the axioms of a skew monoidal category are independent and that its unit is unique up to a unique isomorphism together with an analogue of this result for monoidal functors between skew monoidal categories. It is also noted that these results carry over to skew monoidales before some benefits of certain extra structure on the unit maps of a skew monoidal category are discussed.

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Remarks on units of skew monoidal categories

Abstract

Keywords

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