Exactness and faithfulness of monoidal functors
Bruno Kahn
TL;DR
This paper establishes a specific condition ensuring that faithful monoidal functors between abelian tensor categories are exact, contributing to the understanding of their structural properties.
Contribution
It provides a new criterion for the exactness of faithful monoidal functors in abelian tensor categories, inspired by recent work of Peter O'Sullivan.
Findings
Identifies a condition under which faithful monoidal functors are exact
Bridges the gap between faithfulness and exactness in monoidal functors
Enhances understanding of monoidal functor behavior in abelian categories
Abstract
Inspired by recent work of Peter O'Sullivan (arXiv:2012.15703), we give a condition under which a faithful monoidal functor between abelian -categories is exact.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Rings, Modules, and Algebras