Δ′-Reflexive Modules and Cogen(P)-Linear Compactness

In this paper, we introduce the notion of Δ′-reflexive modules. We investigate the reflexive modules with respect to a partial cotilting (bi)module and obtain a connection between Δ′-reflexive modules and Cogen(P)-linearly compact modules. The main results generalize the results on reflexive modules with respect to a cotilting bimodule.