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Exactness and faithfulness of monoidal functors

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 13 Mar 2023Embargo end date: 01 Jan 2021 France English Publisher:Cellule MathDoc/Centre MersenneJournal:Confluentes Mathematici, volume 14, pages 45-51 (eissn: 1793-7434, Copyright policy )
Authors: Kahn, Bruno;

doi: 10.5802/cml.86 , 10.48550/arxiv.2110.09381

arXiv: 2110.09381

Exactness and faithfulness of monoidal functors

Abstract

Inspired by recent work of Peter O’Sullivan, we give a condition under which a faithful monoidal functor between abelian ⊗-categories is exact.

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France
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Keywords

Mathematics - Algebraic Geometry, monoidal categories, FOS: Mathematics, Monoidal categories, symmetric monoidal categories, Monoidal categories, Mathematics - Category Theory, Category Theory (math.CT), [MATH] Mathematics [math], Algebraic Geometry (math.AG)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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gold