World Scientific Publishing, Bulletin of Mathematical Sciences, 2(4), p. 199-208, 2014
DOI: 10.1007/s13373-014-0050-x
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A module M over an associative ring with unity is a QTAG-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 QTAG-modules and discuss some interesting properties of these modules. We show that a QTAG-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.