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Algebra and Discrete Mathematics, 2006, Issue 3, Pages 1–16 (Mi adm266)  
This article is cited in 11 scientific papers (total in 11 papers)

RESEARCH ARTICLE

$\tau$-complemented and $\tau$-supplemented modules

Khaled Al-Takhmana, Christian Lompb, Robert Wisbauerc

a Department of Mathematics, Birzeit University, Birzeit P. . Box 14, Palestine
b Centro de Matematica da Universidade do Porto, 4169–007 Porto, Portugal
c Mathematisches Institut der, Heinrich-Heine Universität, 0225 Düsseldorf, Germany
Full-text PDF (254 kB) Citations (11)
Abstract: Proper classes of monomorphisms and short exact sequences were introduced by Buchsbaum to study relative homological algebra. It was observed in abelian group theory that complement submodules induce a proper class of monomorphisms and this observations were extended to modules by Stenström, Generalov, and others. In this note we consider complements and supplements with respect to (idempotent) radicals and study the related proper classes of short exact sequences.
Keywords: proper classes; neat and coneat submodules; $\tau$-supplemented, $\tau$-complemented and $\tau$-semiperfect modules.
Received: 16.01.2006
Revised: 21.11.2006
Bibliographic databases:
Document Type: Article
MSC: 16D90, 16E50, 16.E99
Language: English
Citation: Khaled Al-Takhman, Christian Lomp, Robert Wisbauer, “$\tau$-complemented and $\tau$-supplemented modules”, Algebra Discrete Math., 2006, no. 3, 1–16
Citation in format AMSBIB
\Bibitem{Al-LomWis06}
\by Khaled~Al-Takhman, Christian~Lomp, Robert~Wisbauer
\paper $\tau$-complemented and $\tau$-supplemented modules
\jour Algebra Discrete Math.
\yr 2006
\issue 3
\pages 1--16
\mathnet{http://mi.mathnet.ru/adm266}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2321929}
\zmath{https://zbmath.org/?q=an:1116.16005}
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    • This publication is cited in the following 11 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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