Tilting and Cotilting in Functor Categories

Abstract

In this paper, we introduce the notion of n-tilting (resp. n-cotilting) objects in functor categories and give some characterizations of n-tilting objects and n-tilting classes (resp. n-cotilting objects and n-cotilting classes).

Keywords

• functor categories
• tilting
• cotilting
• cotorsion pairs