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Sur l'existence d'une catégorie ayant une matrice strictement positive donnée

2008/05/31 by Samer Allouch, Allouch, Samer · 1 citation
Computer Science · Mathematics · #Advanced Algebra and Logic #Advanced Topics in Algebra #Advanced Topology and Set Theory #Category Theory (math.CT) #FOS: Mathematics #math.CT

paper · pdf · doi:10.48550/arxiv.0806.0060

arxiv created 2008/05/31 · openalex publication_date 2008/05/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The Leinster matrix corresponding to a finite category has entries counting the number of morphisms between objects. A first question is to know which positive integer matrices come from at least one finite category. Here, that question will be answered when the entries are strictly positive.

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