Nice Bases of QTAG-Modules

(Fahad Sikander , Tanveer Fatima and Ayazul Hasan)

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Abstract

A module M over an associative ring R with unity is a QTAG-module if every finitely generated submodule of any homomorphic image of M is a direct sum of universal modules. In this paper, we investigate the class of QTAG-modules having nice basis. It is proved that if H_ω (M) is bounded then M has a bounded nice basis and if H_ω (M) is a direct sum of uniserial modules, then M has a nice basis. We also proved that if M is any QTAG-module, then M⊕D has a nice basis, where D is the h-divisible hull of H_ω (M).

KEYWORDS
QTAG-module, Bounded submodule, Separable submodules, nice submodules
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References

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