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Eurasian Mathematical Journal, 2023, Volume 14, Number 3, Pages 26–34
DOI: https://doi.org/10.32523/2077-9879-2023-14-3-26-34 (Mi emj475) 		 
Countably generated extensions of $QTAG$-modules

A. Hasan

College of Applied Industrial Technology, Jazan University, Jazan P.O. Box 2097, Kingdom of Saudi Arabia
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DOI: https://doi.org/10.32523/2077-9879-2023-14-3-26-34
Abstract: Let the $QTAG$-module $M$ be the set-theoretic union of a countable collection of isotype submodules $S_k$ of countable length. For $0\leqslant k <\omega$ we prove that $M$ is totally projective if $S_k$ is totally projective. Certain related assertions in this direction are also presented.
Keywords and phrases: $QTAG$-modules, totally projective modules, $h$-pure submodules, isotype submodules.
Received: 18.06.2022
Document Type: Article
MSC: 16K20, 13C12, 13C13
Language: English
Citation: A. Hasan, “Countably generated extensions of $QTAG$-modules”, Eurasian Math. J., 14:3 (2023), 26–34
Citation in format AMSBIB
\Bibitem{Has23}
\by A.~Hasan
\paper Countably generated extensions of $QTAG$-modules
\jour Eurasian Math. J.
\yr 2023
\vol 14
\issue 3
\pages 26--34
\mathnet{http://mi.mathnet.ru/emj475}
\crossref{https://doi.org/10.32523/2077-9879-2023-14-3-26-34}
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