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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
References:
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
Language: English
Original paper language: Russian
Citation: V. I. Danilov, “On a conjecture of Samuel”, 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 Math. USSR-Sb.
\yr 1970
\vol 10
\issue 1
\pages 127--137
\mathnet{http://mi.mathnet.ru//eng/sm3365}
\crossref{https://doi.org/10.1070/SM1970v010n01ABEH001590}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=252374}
\zmath{https://zbmath.org/?q=an:0197.03302|0215.07901}
Linking options:
  • https://www.mathnet.ru/eng/sm3365
  • https://doi.org/10.1070/SM1970v010n01ABEH001590
  • https://www.mathnet.ru/eng/sm/v123/i1/p132
  • 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
    Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:391
    Russian version PDF:118
    English version PDF:23
    References:51
     
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