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Algebra and Discrete Mathematics, 2003, Issue 2, Pages 93–118 (Mi adm380)  
This article is cited in 6 scientific papers (total in 6 papers)

RESEARCH ARTICLE

On large indecomposable modules, endo-wild representation type and right pure semisimple rings

Daniel Simson

Faculty of Mathematics and Computer Science, Nicholas Copernicus University, ul. Chopina. 12/18, . 87–100 Toruń, Poland
Full-text PDF (266 kB) Citations (6)
Abstract: The existence of large indecomposable right $R$-modules over a right artinian ring $R$ is discussed in connection with the pure semisimplicity problem and the endo-wildness of the category ${\rm Mod}(R)$ of right $R$-modules. Some conjectures and open problems are presented.
Keywords: Brauer–Thrall conjectures, pure semisimple rings, Kaplansky's test problem, endo-wild representation type, prinjective modules/.
Received: 24.03.2003
Revised: 26.06.2003
Bibliographic databases:
Document Type: Article
MSC: 16G60, 16S50, 15A21
Language: English
Citation: Daniel Simson, “On large indecomposable modules, endo-wild representation type and right pure semisimple rings”, Algebra Discrete Math., 2003, no. 2, 93–118
Citation in format AMSBIB
\Bibitem{Sim03}
\by Daniel~Simson
\paper On large indecomposable modules, endo-wild representation type and right pure semisimple rings
\jour Algebra Discrete Math.
\yr 2003
\issue 2
\pages 93--118
\mathnet{http://mi.mathnet.ru/adm380}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2048658}
\zmath{https://zbmath.org/?q=an:1067.16029}
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  • https://www.mathnet.ru/eng/adm380
  • https://www.mathnet.ru/eng/adm/y2003/i2/p93
    • This publication is cited in the following 6 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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