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Fundamentalnaya i Prikladnaya Matematika, 1995, Volume 1, Issue 1, Pages 301–304 (Mi fpm44)  
This article is cited in 1 scientific paper (total in 1 paper)

Short communications

Ring properties of endomorphism rings of modules

G. M. Brodskii, A. G. Grigoryan

P. G. Demidov Yaroslavl State University
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Abstract: A certain method of studying ring properties of endomorphism rings of modules is justified. As an example of its applications the equivalence of the following conditions is proved: 1) the right annihilator of every proper finitely generated (principal) left ideal in any endomorphism ring of an injective right $R$-module contains a nonzero idempotent; 2) the ring $R$ is a semiartinian right $V$-ring.
Received: 01.02.1994
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Document Type: Article
Language: Russian
Citation: G. M. Brodskii, A. G. Grigoryan, “Ring properties of endomorphism rings of modules”, Fundam. Prikl. Mat., 1:1 (1995), 301–304
Citation in format AMSBIB
\Bibitem{BroGri95}
\by G.~M.~Brodskii, A.~G.~Grigoryan
\paper Ring properties of endomorphism rings of modules
\jour Fundam. Prikl. Mat.
\yr 1995
\vol 1
\issue 1
\pages 301--304
\mathnet{http://mi.mathnet.ru/fpm44}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1789367}
\zmath{https://zbmath.org/?q=an:0866.16019}
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  • https://www.mathnet.ru/eng/fpm/v1/i1/p301
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Фундаментальная и прикладная математика
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    References:42
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