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Mathematics of the USSR-Sbornik, 1970, Volume 10, Issue 1, Pages 127–137
DOI: https://doi.org/10.1070/SM1970v010n01ABEH001590 (Mi sm3365) 		 
This article is cited in 24 scientific papers (total in 24 papers)

On a conjecture of Samuel

V. I. Danilov
English version PDF (681 kB) Citations (24)
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DOI: https://doi.org/10.1070/SM1970v010n01ABEH001590
Abstract: We construct examples disproving Samuel's conjecture stating that the ring $A[[T]]$ is factorial for a complete factorial local ring $A$. We also prove a theorem asserting (under some restrictions) that the ring $A[[T]]$ is factorial for a “'geometrically” factorial ring $A$.
Bibliography: 16 titles.
Received: 09.05.1969
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1970, Volume 81(123), Number 1, Pages 132–144
Bibliographic databases:
UDC: 513.015.7
MSC: 13F15, 13D03, 13H05, 51A10, 20J06
Language: English
Original paper language: Russian
Citation: V. I. Danilov, “On a conjecture of Samuel”, Mat. Sb. (N.S.), 81(123):1 (1970), 132–144; Math. USSR-Sb., 10:1 (1970), 127–137
Citation in format AMSBIB
\Bibitem{Dan70}
\by V.~I.~Danilov
\paper On~a~conjecture of Samuel
\jour Mat. Sb. (N.S.)
\yr 1970
\vol 81(123)
\issue 1
\pages 132--144
\mathnet{http://mi.mathnet.ru/sm3365}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=252374}
\zmath{https://zbmath.org/?q=an:0197.03302|0215.07901}
\transl
\jour Math. USSR-Sb.
\yr 1970
\vol 10
\issue 1
\pages 127--137
\crossref{https://doi.org/10.1070/SM1970v010n01ABEH001590}
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    • This publication is cited in the following 24 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Russian version PDF:114
    English version PDF:16
    References:41
     
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