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arXiv · 2005.07968

PROPs for involutive monoids and involutive bimonoids

Daniel Graves
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Abstract

The category of involutive non-commutative sets encodes the structure of an involution compatible with a (co)associative (co)multiplication. We prove that the category of involutive bimonoids in a symmetric monoidal category is equivalent to the category of algebras over a PROP constructed from the category of involutive non-commutative sets.

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BibTeXRIS

Daniel Graves. 2020-05-16. PROPs for involutive monoids and involutive bimonoids. https://arxiv.org/abs/2005.07968

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