Exactness and faithfulness of monoidal functors

Abstract

Inspired by recent work of Peter O'Sullivan (arXiv:2012.15703), we give a condition under which a faithful monoidal functor between abelian $\otimes$-categories is exact.

References in corpus (2)

• Monoidal Abelian Envelopes with a quotient property
• Additive Grothendieck pretopologies and presentations of tensor categories