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Mathematics of the USSR-Sbornik, 1972, Volume 17, Issue 2, Pages 228–236
DOI: https://doi.org/10.1070/SM1972v017n02ABEH001501 (Mi sm3155) 		 
This article is cited in 11 scientific papers (total in 11 papers)

On rings with a discrete divisor class group

V. I. Danilov
English version PDF (619 kB) Citations (11) Russian version article
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DOI: https://doi.org/10.1070/SM1972v017n02ABEH001501
Abstract: We consider the conjecture: $C(A)=C(A[[T]])$ for a local ring $A$ if and only if the divisor class group of the strict henselization $C(^\mathrm{sh}A)$ has a finite number of generators. This conjecture is proved in two cases: 1) $A$ has characteristic $0$, 2) $A$ is an equicharacteristic ring of an isolated singularity.
Bibliography: 15 titles.
Received: 07.04.1971
Bibliographic databases:
UDC: 513 015.7
MSC: Primary 13J15, 13F15; Secondary 14L15
Language: English
Original paper language: Russian
Citation: V. I. Danilov, “On rings with a discrete divisor class group”, Math. USSR-Sb., 17:2 (1972), 228–236
Citation in format AMSBIB
\Bibitem{Dan72}
\by V.~I.~Danilov
\paper On~rings with a~discrete divisor class group
\jour Math. USSR-Sb.
\yr 1972
\vol 17
\issue 2
\pages 228--236
\mathnet{http://mi.mathnet.ru//eng/sm3155}
\crossref{https://doi.org/10.1070/SM1972v017n02ABEH001501}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=306184}
\zmath{https://zbmath.org/?q=an:0251.13001}
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:285
    Russian version PDF:112
    English version PDF:18
    References:57
     
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