Cotorsion classes in higher homological algebra

Abstract

In this paper, the notion of cotorsion classes is introduced into the higher homological algebra. Our results motivate the definition, showing that this notion of n-cotorsion classes satisfies usual properties one could expect. In particular, a higher version of Wakamatsu's Lemma is proved. At the last section, connections with wide subcategories are studied. © 2021 Elsevier B.V.