On Generalizations of Projective QTAG-Modules

In this manuscript, we define the class of ω1-weakly α-projective QTAG-modules for the infinite ordinal α and provide its systematic study for the finite ordinal. Furthermore, we generalize this class to ω.2+n-projective modules and obtain some characterizations. We also study the ω-totally weak ω.2...

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Main Authors: Fahad Sikander, Firdhousi Begam, Tanveer Fatima
Format: Article
Language:English
Published: Wiley 2023-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2023/3175455
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author Fahad Sikander
Firdhousi Begam
Tanveer Fatima
author_facet Fahad Sikander
Firdhousi Begam
Tanveer Fatima
author_sort Fahad Sikander
collection DOAJ
description In this manuscript, we define the class of ω1-weakly α-projective QTAG-modules for the infinite ordinal α and provide its systematic study for the finite ordinal. Furthermore, we generalize this class to ω.2+n-projective modules and obtain some characterizations. We also study the ω-totally weak ω.2+n-projective modules under the formation of ω1-bijections.
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institution Kabale University
issn 2314-4785
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publishDate 2023-01-01
publisher Wiley
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series Journal of Mathematics
spelling doaj-art-75884f202e7048c5817f2a0d944810e42025-02-03T06:47:31ZengWileyJournal of Mathematics2314-47852023-01-01202310.1155/2023/3175455On Generalizations of Projective QTAG-ModulesFahad Sikander0Firdhousi Begam1Tanveer Fatima2Department of Basic SciencesApplied Science SectionDepartment of Mathematics and StatisticsIn this manuscript, we define the class of ω1-weakly α-projective QTAG-modules for the infinite ordinal α and provide its systematic study for the finite ordinal. Furthermore, we generalize this class to ω.2+n-projective modules and obtain some characterizations. We also study the ω-totally weak ω.2+n-projective modules under the formation of ω1-bijections.http://dx.doi.org/10.1155/2023/3175455
spellingShingle Fahad Sikander
Firdhousi Begam
Tanveer Fatima
On Generalizations of Projective QTAG-Modules
Journal of Mathematics
title On Generalizations of Projective QTAG-Modules
title_full On Generalizations of Projective QTAG-Modules
title_fullStr On Generalizations of Projective QTAG-Modules
title_full_unstemmed On Generalizations of Projective QTAG-Modules
title_short On Generalizations of Projective QTAG-Modules
title_sort on generalizations of projective qtag modules
url http://dx.doi.org/10.1155/2023/3175455
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