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arXiv · 2109.09634

Clones from comonoids

Ulrich Krähmer·Myriam Mahaman
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Abstract

The fact that the cocommutative comonoids in a symmetric monoidal category form the best possible approximation by a cartesian category is revisited when the original category is only braided monoidal. This leads to the question when the endomorphism operad of a comonoid is a clone (a Lawvere theory). By giving an explicit example, we prove that this does not imply that the comonoid is cocommutative.

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Ulrich Krähmer, Myriam Mahaman. 2021-09-20. Clones from comonoids. https://doi.org/10.33044/revuma.3951

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