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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 1, Pages 3–11 (Mi ivm8413)  
This article is cited in 2 scientific papers (total in 2 papers)

Regular semiartinian rings

A. N. Abyzov

Chair of Algebra and Mathematical Logics, Kazan (Volga Region) Federal University, Kazan, Russia
Full-text PDF (196 kB) Citations (2)
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Abstract: We study the structure of rings over which every right module is an essential extension of a semisimple module by an injective one. A ring $R$ is called a right $\max$-ring if every nonzero right $R$-module has a maximal submodule. We describe normal regular semiartinian rings whose endomorphism ring of the minimal injective cogenerator is a $\max$-ring.
Keywords: semiartinian rings, $SI$-rings, injective module, $\max$-rings.
Received: 24.01.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, Volume 56, Issue 1, Pages 1–8
DOI: https://doi.org/10.3103/S1066369X1201001X
Bibliographic databases:
Document Type: Article
UDC: 512.55
Language: Russian
Citation: A. N. Abyzov, “Regular semiartinian rings”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 1, 3–11; Russian Math. (Iz. VUZ), 56:1 (2012), 1–8
Citation in format AMSBIB
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\by A.~N.~Abyzov
\paper Regular semiartinian rings
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2012
\issue 1
\pages 3--11
\mathnet{http://mi.mathnet.ru/ivm8413}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2975912}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2012
\vol 56
\issue 1
\pages 1--8
\crossref{https://doi.org/10.3103/S1066369X1201001X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84862694218}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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