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Algebra and Discrete Mathematics, 2016, Volume 21, Issue 1, Pages 51–58 (Mi adm553)  
This article is cited in 2 scientific papers (total in 2 papers)

RESEARCH ARTICLE

An outer measure on a commutative ring

Dariusz Dudzika, Marcin Skrzyńskib

a Institute of Mathematics, Pedagogical University of Cracow, ul. Podchorążych 2, 30-084 Kraków, Poland
b Institute of Mathematics, Cracow University of Technology, ul. Warszawska 24, 31-155 Kraków, Poland
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Abstract: We show how to produce a reasonable outer measure on a commutative ring from a given measure on a family of prime ideals of this ring. We provide a few examples and prove several properties of such outer measures.
Keywords: outer measure, measure, commutative ring, prime ideal.
Received: 15.10.2015
Revised: 05.01.2016
Bibliographic databases:
Document Type: Article
MSC: 13A15, 28A12
Language: English
Citation: Dariusz Dudzik, Marcin Skrzyński, “An outer measure on a commutative ring”, Algebra Discrete Math., 21:1 (2016), 51–58
Citation in format AMSBIB
\Bibitem{DudSkr16}
\by Dariusz~Dudzik, Marcin~Skrzy{\'n}ski
\paper An outer measure on a commutative ring
\jour Algebra Discrete Math.
\yr 2016
\vol 21
\issue 1
\pages 51--58
\mathnet{http://mi.mathnet.ru/adm553}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3537484}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000382847600005}
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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
    		Algebra and Discrete Mathematics
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    References:41
     
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