Nice Submodules and Projectivity in ω1 − (ω + n)-QTAG-Module Structures

Faizah D. Alanazi, Firdhousi Begum and Fahad Sikander

Journal of Mathematics, 2026, vol. 2026, 1-11

Abstract: In this article, we investigate the properties and structural aspects of strongly and separably ω1−ω+n-projective modules, with a focus on their behavior in QTAG-modules. We explore the conditions under which such modules exhibit projectivity and examine the roles of countably generated submodules. Our study highlights key results, including the characterization of strongly and separably ω1−ω+n-projective modules. Additionally, we provide an example demonstrating that a strongly ω1−ω+n-projective module can fail to be separably ω1−ω+n-projective.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:3680585

DOI: 10.1155/jom/3680585

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