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Article Dans Une Revue Communications in Mathematics Année : 2019

[Retracted by the journal] α-modules and generalized submodules

Résumé

[This article has been retracted by the journal ; see Retractation notice https://doi.org/10.2478/cm-2019-0014] A QTAG-module M is an α-module, where α is a limit ordinal, if M/Hβ (M) is totally projective for every ordinal β < α. In the present paper α-modules are studied with the help of α-pure submodules, α-basic submodules, and α-large submodules. It is found that an α-closed α-module is an α-injective. For any ordinal ω ≤ α ≤ ω 1 we prove that an α-large submodule L of an ω 1-module M is summable if and only if M is summable.
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Dates et versions

hal-03665380 , version 1 (11-05-2022)

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Paternité - Pas d'utilisation commerciale - Pas de modification

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Rafiquddin Rafiquddin, Ayazul Hasan, Mohammad Fareed Ahmad. [Retracted by the journal] α-modules and generalized submodules. Communications in Mathematics, 2019, Volume 27 (2019), Issue 1 (1), pp.13 - 26. ⟨10.2478/cm-2019-0002⟩. ⟨hal-03665380⟩
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