Countably Generated Extensions of QTAG-Modules

Ayazul Hasan

doi:10.32523/2077-9879-2023-14-3-26-34

Countably Generated Extensions of QTAG-Modules

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Authors

Ayazul Hasan

DOI:

https://doi.org/10.32523/2077-9879-2023-14-3-26-34

Keywords:

QTAG-modules, totally projective modules, h-pure submodules, isotype submodules

Abstract

Let the \(QTAG\)-module \(M\) be the set-theoretic union of a countable collection of isotype submodules \(S_k\) of countable length. For \(0 \leq k < \omega\) we prove that \(M\) is totally projective if \(S_k\) is totally projective. Certain related assertions in this direction are also presented.

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Published

2023-09-30

How to Cite

Hasan, A. (2023). Countably Generated Extensions of QTAG-Modules. Eurasian Mathematical Journal, 14(3), 26–34. https://doi.org/10.32523/2077-9879-2023-14-3-26-34