Commutativity

Richard Garner, Ignacio López Franco*

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    5 Citations (Scopus)

    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.

    Original languageEnglish
    Pages (from-to)1707-1751
    Number of pages45
    JournalJournal of Pure and Applied Algebra
    Volume220
    Issue number5
    DOIs
    Publication statusPublished - May 2016

    Fingerprint

    Dive into the research topics of 'Commutativity'. Together they form a unique fingerprint.

    Cite this