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Algebra and Discrete Mathematics, 2015, Volume 19, Issue 2, Pages 295–301 (Mi adm524)  

This article is cited in 3 scientific papers (total in 3 papers)

RESEARCH ARTICLE

A commutative Bezout $PM^{\ast}$ domain is an elementary divisor ring

B. Zabavsky, A. Gatalevych

Department of Mechanics and Mathematics, Ivan Franko National University of L'viv
Full-text PDF (292 kB) Citations (3)
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Abstract: We prove that any commutative Bezout $PM^{\ast}$ domain is an elementary divisor ring.
Keywords: Bezout domain, PM-ring, clean element, neat element, elementary divisor ring, stable range 1, neat range 1.
Received: 07.03.2015
Revised: 13.07.2015
Bibliographic databases:
Document Type: Article
MSC: 13F99
Language: English
Citation: B. Zabavsky, A. Gatalevych, “A commutative Bezout $PM^{\ast}$ domain is an elementary divisor ring”, Algebra Discrete Math., 19:2 (2015), 295–301
Citation in format AMSBIB
\Bibitem{ZabGat15}
\by B.~Zabavsky, A.~Gatalevych
\paper A commutative Bezout $PM^{\ast}$ domain is an elementary divisor ring
\jour Algebra Discrete Math.
\yr 2015
\vol 19
\issue 2
\pages 295--301
\mathnet{http://mi.mathnet.ru/adm524}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3376357}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000378729000012}
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  • This publication is cited in the following 3 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 :57
    References:39
     
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