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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 4 scientific papers (total in 4 papers)

Essentially quasi-injective modules and their direct sums

A. N. Abyzov, Bui Tien Dat

Kazan Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
Full-text PDF (434 kB) Citations (4) English version article
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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
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2024, Volume 68, Issue 7, Pages 1–13
DOI: https://doi.org/10.3103/S1066369X24700476
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; Russian Math. (Iz. VUZ), 68:7 (2024), 1–13
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}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2024
\vol 68
\issue 7
\pages 1--13
\crossref{https://doi.org/10.3103/S1066369X24700476}
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  • https://www.mathnet.ru/eng/ivm/y2024/i7/p9
    • This publication is cited in the following 4 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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    Full-text PDF :50
    References:80
    First page:16
     
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