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 164, Pages 125–139 (Mi into461)  
Direct projective modules, direct injective modules, and their generalizations

A. N. Abyzova, A. A. Tuganbaevbc, D. T. Tapkina, T. C. Quynhd

a Kazan (Volga Region) Federal University
b Lomonosov Moscow State University
c National Research University "Moscow Power Engineering Institute"
d The University of Danang
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Abstract: This paper contains new and previously known results on modules that are close to direct projective and direct injective modules. The main results are presented with proofs.
Keywords: direct injective module, direct projective module, simple-direct-injective module, simple-direct-projective module, SSP-module, SIP-module, ring of formal matrices.
Funding agency Grant number
Russian Foundation for Basic Research 18-41-160024
Russian Science Foundation 16-11-10013
The work of A.N.Abyzov and D.T.Tapkin was supported by the Russian Foundation for Basic Research and the Government of the Republic of Tatarstan (project No. 18-41-160024). The work of A. A. Tuganbaev was supported by the Russian Science Foundation (project No. 16-11-10013).
Bibliographic databases:
Document Type: Article
UDC: 512.553
MSC: 16D10
Language: Russian
Citation: A. N. Abyzov, A. A. Tuganbaev, D. T. Tapkin, T. C. Quynh, “Direct projective modules, direct injective modules, and their generalizations”, Algebra, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 164, VINITI, Moscow, 2019, 125–139
Citation in format AMSBIB
\Bibitem{AbyTugTap19}
\by A.~N.~Abyzov, A.~A.~Tuganbaev, D.~T.~Tapkin, T.~C.~Quynh
\paper Direct projective modules, direct injective modules, and their generalizations
\inbook Algebra
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2019
\vol 164
\pages 125--139
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into461}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4014985}
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