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Sibirskii Matematicheskii Zhurnal, 2017, Volume 58, Number 5, Pages 959–971
DOI: https://doi.org/10.17377/smzh.2017.58.501 (Mi smj2911) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Dual automorphism-invariant modules over perfect rings

A. N. Abyzova, T. C. Quynhb, D. D. Taic

a Kazan (Volga Region) Federal University, Kazan, Russia
b Department of Mathematics, Danang University, Danang City, Vietnam
c Faculty of Mathematics, Vinh University, Vinh City, Vietnam
Full-text PDF (327 kB) Citations (11)
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DOI: https://doi.org/10.17377/smzh.2017.58.501
Abstract: Under study are the dual automorphism-invariant modules and pseudoprojective modules. Some conditions were found under which the dual automorphism-invariant module over a perfect ring is quasiprojective. We also show that if $R$ is a right perfect ring then a pseudoprojective right $R$-module $M$ is finitely generated if and only if $M$ is a Hopf module.
Keywords: dual automorphism-invariant module, pseudoprojective module, perfect ring, Hopf module.
Funding agency Grant number
National Foundation for Science and Technology Development Vietnam 101.04-2017.22
The second and third authors were partially supported by the Vietnam National Foundation for Science and Technology Development (NAFOSTED; Grant 101.04-2017.22).
Received: 02.09.2016
English version:
Siberian Mathematical Journal, 2017, Volume 58, Issue 5, Pages 743–751
DOI: https://doi.org/10.1134/S0037446617050019
Bibliographic databases:
Document Type: Article
UDC: 512.55
Language: Russian
Citation: A. N. Abyzov, T. C. Quynh, D. D. Tai, “Dual automorphism-invariant modules over perfect rings”, Sibirsk. Mat. Zh., 58:5 (2017), 959–971; Siberian Math. J., 58:5 (2017), 743–751
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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