When coproducts are biproducts

Richard Garner*, Daniel Schäppi

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    2 Citations (Scopus)


    Among monoidal categories with finite coproducts preserved by tensoring on the left, we characterise those with finite biproducts as being precisely those in which the initial object and the coproduct of the unit with itself admit right duals. This generalises Houston's result that any compact closed category with finite coproducts admits biproducts.

    Original languageEnglish
    Pages (from-to)47-51
    Number of pages5
    JournalMathematical Proceedings of the Cambridge Philosophical Society
    Issue number1
    Publication statusPublished - 1 Jul 2016


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