Closed categories, star-autonomy, and monoidal comonads

Craig Pastro*, Ross Street

*Corresponding author for this work

    Research output: Contribution to journalArticle

    6 Citations (Scopus)

    Abstract

    This paper determines what structure is needed for internal homs in a monoidal category C to be liftable to the category CG of Eilenberg-Moore coalgebras for a monoidal comonad G on C. We apply this to lift *-autonomy with the view to recasting the definition of quantum groupoid.

    Original languageEnglish
    Pages (from-to)3494-3520
    Number of pages27
    JournalJournal of Algebra
    Volume321
    Issue number11
    DOIs
    Publication statusPublished - 1 Jun 2009

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