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Algebra and Discrete Mathematics, 2008, Issue 2, Pages 42–49 (Mi adm157)  
This article is cited in 2 scientific papers (total in 2 papers)

RESEARCH ARTICLE

Baer semisimple modules and Baer rings

Xiao Jiang Guoa, K. P. Shumb

a Department of Mathematics, Jiangxi Normal University, Nanchang, Jiangxi 330022, P.R. China
b Department of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong, P.R. China (SAR)
Full-text PDF (201 kB) Citations (2)
Abstract: We consider Baer rings and Baer semisimple $R$-modules which are generalizations of semisimple modules. Several characterization theorems of Baer semisimple modules are obtained. In particular, we prove that a ring $R$ is a Baer ring if and only if $R$ itself, regarded as a regular $R$-module, is Baer semisimple.
Keywords: Baer module; Baer semisimple module; perpetual submodule; Baer ring.
Received: 01.05.2008
Revised: 01.05.2008
Bibliographic databases:
Document Type: Article
MSC: 16W60
Language: English
Citation: Xiao Jiang Guo, K. P. Shum, “Baer semisimple modules and Baer rings”, Algebra Discrete Math., 2008, no. 2, 42–49
Citation in format AMSBIB
\Bibitem{GuoShu08}
\by Xiao~Jiang~Guo, K.~P.~Shum
\paper Baer semisimple modules and Baer rings
\jour Algebra Discrete Math.
\yr 2008
\issue 2
\pages 42--49
\mathnet{http://mi.mathnet.ru/adm157}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2484590}
\zmath{https://zbmath.org/?q=an:1164.16319}
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  • https://www.mathnet.ru/eng/adm157
  • https://www.mathnet.ru/eng/adm/y2008/i2/p42
    • 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
    		Algebra and Discrete Mathematics
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