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Research Article | Open Access

On quasi-monoidal comonads and their corepresentations

Dingguo Wang, Xiaohui Zhang( )
School of Mathematical Sciences, Qufu Normal University, Qufu 273165, China
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Abstract

In this paper, we define and study quasi-monoidal comonads on a monoidal category. It generalize the (Hom type) coquasi-bialgebras to a non-braided setting. We investigate their corepresentations and their coquasitriangular structures. We also discuss their gauge equivalence relations.

Keywords

quasi-monoidal comonadscoquasitriangular structuresgauge transformationsmonoidal categories

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Electronic Research Archive
Volume 30 Issue 8,
August 2022
Pages 3153-3171
DOI: 10.3934/era.2022160

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Wang D, Zhang X. On quasi-monoidal comonads and their corepresentations. Electronic Research Archive, 2022, 30(8): 3153-3171. https://doi.org/10.3934/era.2022160

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Received: 20 March 2022
Revised: 12 May 2022
Accepted: 17 May 2022
Published: 15 August 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)