Geodesic
Countably generated extensions of $QTAG$-modules
Eurasian mathematical journal, Tome 14 (2023) no. 3, pp. 26-34.

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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. 
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A. Hasan. Countably generated extensions of $QTAG$-modules. Eurasian mathematical journal, Tome 14 (2023) no. 3, pp. 26-34. http://geodesic.mathdoc.fr/item/EMJ_2023_14_3_a1/

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