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arXiv · 1507.08710

Commutativity

Richard Garner·Ignacio López Franco
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Abstract

We describe a general framework for notions of commutativity based on enriched category theory. We extend Eilenberg and Kelly's tensor product for categories enriched over a symmetric monoidal base to a tensor product for categories enriched over a normal duoidal category; using this, we re-find notions such as the commutativity of a finitary algebraic theory or a strong monad, the commuting tensor product of two theories, and the Boardman-Vogt tensor product of symmetric operads.

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Richard Garner, Ignacio López Franco. 2015-07-31. Commutativity. https://doi.org/10.1016/j.jpaa.2015.09.003

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