Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2019, Volume 159, Pages 3–45 (Mi into414)  
This article is cited in 6 scientific papers (total in 6 papers)

Modules that are invariant with respect to automorphisms and idempotent endomorphisms of their hulls and covers

A. N. Abyzova, T. C. Quynhb, A. A. Tuganbaevcd

a Kazan (Volga Region) Federal University
b The University of Danang
c National Research University "Moscow Power Engineering Institute"
d Lomonosov Moscow State University
Full-text PDF (547 kB) Citations (6)
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Abstract: The paper contains both previously known and new results on automorphism-invariant modules, automorphism-coinvariant modules, and modules that are invariant or coinvariant with respect to idempotent endomorphisms of their hulls and their covers, respectively. The main results are given with proofs.
Keywords: quasi-injective module, quasi-projective module, automorphism-invariant module, automorphism-liftable module, automorphism-coinvariant module, hull, cover.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.1515.2017/4.6
1.12878.2018/12.1
Russian Science Foundation 16-11-10013
The work of A. N. Abyzov was supported by the Ministry of Science and Education of Russian Federation (project No. 1.1515.2017/4.6). The work of T. C. Quynh was supported by by the Ministry of Science and Education of Russian Federation (project No. 1.12878.2018/12.1). The work of A. A. Tuganbaev was supported by the Russian Science Foundation (project No. 16-11-10013).
English version:
Journal of Mathematical Sciences (New York), 2021, Volume 256, Issue 3, Pages 235–277
DOI: https://doi.org/10.1007/s10958-021-05427-x
Bibliographic databases:
Document Type: Article
UDC: 512.55
MSC: 16D40, 16D50, 16W20
Language: Russian
Citation: A. N. Abyzov, T. C. Quynh, A. A. Tuganbaev, “Modules that are invariant with respect to automorphisms and idempotent endomorphisms of their hulls and covers”, Algebra, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 159, VINITI, Moscow, 2019, 3–45; J. Math. Sci. (N. Y.), 256:3 (2021), 235–277
Citation in format AMSBIB
\Bibitem{AbyQuyTug19}
\by A.~N.~Abyzov, T.~C.~Quynh, A.~A.~Tuganbaev
\paper Modules that are invariant with respect to automorphisms and idempotent endomorphisms of their hulls and covers
\inbook Algebra
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2019
\vol 159
\pages 3--45
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into414}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=3939216}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2021
\vol 256
\issue 3
\pages 235--277
\crossref{https://doi.org/10.1007/s10958-021-05427-x}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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