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  • The subobject decomposition...
    Knop, Friedrich

    Indagationes mathematicae, January 2022, 2022-01-00, Volume: 33, Issue: 1
    Journal Article

    To every regular category A equipped with a degree function δ one can attach a pseudo-abelian tensor category T(A,δ). We show that the generating objects of T decompose canonically as a direct sum. In this paper we calculate morphisms, compositions of morphisms and tensor products of the summands. As a special case we recover the original construction of Deligne’s category RepSt.