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World Scientific Publishing, Bulletin of Mathematical Sciences, 2(4), p. 199-208, 2014

DOI: 10.1007/s13373-014-0050-x

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On n-layered QTAG-modules

Journal article published in 2014 by Fahad Sikander, Ayazul Hasan, Alveera Mehdi
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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Abstract

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.