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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2024, Number 7, Pages 9–23
DOI: https://doi.org/10.26907/0021-3446-2024-7-9-23 (Mi ivm9994) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Essentially quasi-injective modules and their direct sums

A. N. Abyzov, Bui Tien Dat

Kazan Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
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DOI: https://doi.org/10.26907/0021-3446-2024-7-9-23
Abstract: Conditions are studied under which an arbitrary direct sum of essentially (quasi-) injective modules is an essentially (quasi-) injective module. A description of essentially quasi-injective Abelian groups is obtained.
Keywords: essentially quasi-injective module, essentially endomorphism-extendable module, ADS-module, essentially Noetherian module.
Funding agency Grant number
Russian Science Foundation 23-21-10086
Received: 15.08.2023
Revised: 15.09.2023
Accepted: 26.09.2023
Bibliographic databases:
Document Type: Article
UDC: 512.55
Language: Russian
Citation: A. N. Abyzov, Bui Tien Dat, “Essentially quasi-injective modules and their direct sums”, Izv. Vyssh. Uchebn. Zaved. Mat., 2024, no. 7, 9–23
Citation in format AMSBIB
\Bibitem{AbyDat24}
\by A.~N.~Abyzov, Bui~Tien~Dat
\paper Essentially quasi-injective modules and their direct sums
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2024
\issue 7
\pages 9--23
\mathnet{http://mi.mathnet.ru/ivm9994}
\crossref{https://doi.org/10.26907/0021-3446-2024-7-9-23}
\edn{https://elibrary.ru/ZQDBVL}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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