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Sibirskii Matematicheskii Zhurnal, 2019, Volume 60, Number 6, Pages 1191–1208
DOI: https://doi.org/10.33048/smzh.2019.60.601 (Mi smj3142) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Modules coinvariant under the idempotent endomorphisms of their covers

A. N. Abyzova, V. T. Leb, C. Q. Truongc, A. A. Tuganbaevd

a Kazan (Volga Region) Federal University
b Department of Mathematics, College of Education, Hue University, 34 Le Loi, Hue city, Vietnam
c Department of Mathematics, The University of Danang, University of Science and Education, 459 Ton Duc Thang, Danang city, Vietnam
d National Research University "Moscow Power Engineering Institute"
Full-text PDF (512 kB) Citations (7)
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DOI: https://doi.org/10.33048/smzh.2019.60.601
Abstract: We study the modules that are coinvariant under the idempotent endomorphisms of their covers. Some generalizations of discrete and continuous modules are introduced and inspected on using the theory of covers and envelopes of modules. By way of application, we consider the cases of flat covers, injective envelopes, and pure injective envelopes.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 1.13556.2019/13.1
National Foundation for Science and Technology Development Vietnam 101.04–2018.02
Funds for Science and Technology Development of the University of Danang B2017-DN03-08
Russian Science Foundation 16-11-10013
V. T. Le and C. Q. Truong were supported by the Vietnam National Foundation for Science and Technology Development (NAFOSTED; Grant 101.04—2018.02). C. Q. Truong was supported by the Funds for Science and Technology Development of the University of Danang (Grant B2017—DN03—08). A. N. Abyzov was supported by the subsidy of the Government Task for Kazan (Volga Region) Federal University (Grant 1.13556.2019/13.1). A. A. Tuganbaev was supported by the Russian Science Foundation (Grant 16—11—10013).
Received: 06.11.2018
Revised: 06.11.2018
Accepted: 12.03.2019
English version:
Siberian Mathematical Journal, 2019, Volume 60, Issue 6, Pages 927–939
DOI: https://doi.org/10.1134/S0037446619060016
Bibliographic databases:
Document Type: Article
UDC: 512.553
Language: Russian
Citation: A. N. Abyzov, V. T. Le, C. Q. Truong, A. A. Tuganbaev, “Modules coinvariant under the idempotent endomorphisms of their covers”, Sibirsk. Mat. Zh., 60:6 (2019), 1191–1208; Siberian Math. J., 60:6 (2019), 927–939
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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