In this paper,(dual) purely Rickart objects are introduced as generalizations of (dual) Rickart
objects in Grothendieck categories. Examples showing the relations between (dual) relative …

A purely extending module is a generalization of an extending module. In this paper, we
study several properties of purely extending modules and introduce the notion of purely …

The work of this thesis has close connections with dual-Baer modules, dual-Rickart
modules, which are dual concepts of Baer modules and Rickart modules, respectively. Baer …