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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2025, Number 12, Pages 3–26
DOI: https://doi.org/10.26907/0021-3446-2025-12-3-26 (Mi ivm10140) 		 
Weakly injective modules and weakly projective modules

A. N. Abyzova, T. D. Buiab

a Kazan State University, 18 Kremlyovskaya str., Kazan, 420008 Russia
b Can Tho University of Technology, 256 Nguyen Van Cu str., Can Tho City, Vietnam
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DOI: https://doi.org/10.26907/0021-3446-2025-12-3-26
Abstract: Weakly injective and weakly projective modules, which are extensions of the classes of quasi-injective modules and quasi-projective modules respectively, are studied. Descriptions are obtained for weakly injective and weakly projective Abelian groups, as well as for some classes of Abelian groups closely related to them.
Keywords: weakly injective module, weakly projective module, weakly endomorphism-extendable module, weakly endomorphism-liftable module, Abelian group.
Funding agency Grant number
Russian Science Foundation 23-21-10086
Ministry of Science and Higher Education of the Russian Federation 075-02-2025-1725/1
Received: 17.10.2024
Revised: 30.10.2024
Accepted: 18.12.2024
Document Type: Article
UDC: 512.55
Language: Russian
Citation: A. N. Abyzov, T. D. Bui, “Weakly injective modules and weakly projective modules”, Izv. Vyssh. Uchebn. Zaved. Mat., 2025, no. 12, 3–26
Citation in format AMSBIB
\Bibitem{AbyBui25}
\by A.~N.~Abyzov, T.~D.~Bui
\paper Weakly injective modules and weakly projective modules
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2025
\issue 12
\pages 3--26
\mathnet{http://mi.mathnet.ru/ivm10140}
\crossref{https://doi.org/10.26907/0021-3446-2025-12-3-26}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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