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This article is cited in 24 scientific papers (total in 24 papers)
On a conjecture of Samuel
V. I. Danilov
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
Citation:
V. I. Danilov, “On a conjecture of Samuel”, Math. USSR-Sb., 10:1 (1970), 127–137
Linking options:
https://www.mathnet.ru/eng/sm3365https://doi.org/10.1070/SM1970v010n01ABEH001590 https://www.mathnet.ru/eng/sm/v123/i1/p132
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Abstract page: | 391 | Russian version PDF: | 118 | English version PDF: | 23 | References: | 51 |
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