Tensor products of finitely cocomplete and abelian categories

Ignacio López Franco

    Research output: Contribution to journalArticle

    7 Citations (Scopus)

    Abstract

    The purpose of this article is to study the existence of Deligne's tensor product of abelian categories by comparing it with the well-known tensor product of finitely cocomplete categories. The main result states that the former exists precisely when the latter is an abelian category, and moreover in this case both tensor products coincide. An example of two abelian categories whose Deligne's tensor product does not exist is given.
    Original languageEnglish
    Pages (from-to)207-219
    Number of pages13
    JournalJournal of Algebra
    Volume396
    DOIs
    Publication statusPublished - 2013

    Keywords

    • Abelian category
    • Colimit
    • Deligne's tensor product
    • Primary
    • Secondary

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