On the existence of recollements of functor categories

Abstract

A sufficient condition for the existence of recollements of functor categories is provided. Using this criterion, we show that a recollement of rings induces a recollement of their path rings (resp. incidence rings, monomial rings) over a locally finite quiver. Also, we present a covering technique for recollement of derived categories of functor categories. © 2020, © 2020 Taylor & Francis Group, LLC.