Nice Bases of QTAG-Modules
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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).
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1979 ◽
Vol 22
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pp. 449-457
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2019 ◽
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pp. 1950035
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1989 ◽
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pp. 109-111
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1982 ◽
Vol 86
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pp. 203-209
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pp. 1350057
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Vol 16
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pp. 265-273
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