Abstract
A module M over an associative ring with unity is a QT AG-module if every finitely generated submodule of any homomorphic image of M is a direct sum of uniserial modules. There are many fascinating concepts related to these modules. Here we introduce the notion of n-layered QT AG-modules and discuss some interesting properties of these modules. We show that a QT AG-module M is n-layered if and only if M / N is an n-layered module, whenever N is a finitely generated submodule of M and n >= 1 is an integer.