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Algebra and Discrete Mathematics, 2007, Issue 3, Pages 59–66 (Mi adm221)  
This article is cited in 2 scientific papers (total in 2 papers)

RESEARCH ARTICLE

There isn't much duality in radical theory

B. J. Gardner

University of Tasmania, Private Bag 37, Hobart Tas. 7001, Australia
Full-text PDF (209 kB) Citations (2)
Abstract: The definitions of radical and semi-simple classes are in a natural sense dual to each other. However, statements dual in the same sense to theorems of radical theory tend to be false. Some insights may nevertheless be gained from consideration of duality, and we illustrate this with a link between additive radicals and semi-simple radical classes.
Keywords: radical class, semi-simple class, duality.
Received: 04.09.2007
Revised: 04.02.2008
Bibliographic databases:
Document Type: Article
MSC: 16N80, 16S90, 18E40
Language: English
Citation: B. J. Gardner, “There isn't much duality in radical theory”, Algebra Discrete Math., 2007, no. 3, 59–66
Citation in format AMSBIB
\Bibitem{Gar07}
\by B.~J.~Gardner
\paper There isn't much duality in radical theory
\jour Algebra Discrete Math.
\yr 2007
\issue 3
\pages 59--66
\mathnet{http://mi.mathnet.ru/adm221}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2351991}
\zmath{https://zbmath.org/?q=an:1164.16009}
Linking options:
  • https://www.mathnet.ru/eng/adm221
  • https://www.mathnet.ru/eng/adm/y2007/i3/p59
    • 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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    Full-text PDF :70
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