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A note on Frobenius monoidal functors on autonomous categories

2014/07/03 by Adriana Balan, Balan, Adriana
Mathematics · #18A22 #18D10 #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1407.1012

openalex publication_date 2014/07/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Frobenius monoidal functors preserve duals. We show that conversely, (co)monoidal functors between autonomous categories which preserve duals are Frobenius monoidal. We apply this result to linearly distributive functors between autonomous categories.

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