Richard Garner, Ignacio López Franco*

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    10 Citations (Scopus)


    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.

    Original languageEnglish
    Pages (from-to)1707-1751
    Number of pages45
    JournalJournal of Pure and Applied Algebra
    Issue number5
    Publication statusPublished - May 2016


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