Abstract
In this paper we generalize the concept of commutator socle regular abelian p-groups for the QTAG-modules. In fact this is an extension of the study of socle regular, strong socle regular and projection-invariant QTAG-modules (Sikander et al., New Trends Math Sci 2(2):129-133, 2014; Sci Ser A Math Sci 25:47-53, 2014; J Egypt Math Soc, 2015. Here we investigate commutator socle regular modules, study their crucial properties and establish their relationship with the above mentioned modules.