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Mathematics of the USSR-Sbornik, 1983, Volume 44, Issue 4, Pages 417–430
DOI: https://doi.org/10.1070/SM1983v044n04ABEH000975 (Mi sm2477) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Topologies on a ring of polynomials, and a topological analogue of the Hilbert basis theorem

V. I. Arnautov, A. V. Mikhalev
English version PDF (778 kB) Citations (2) Russian version article
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DOI: https://doi.org/10.1070/SM1983v044n04ABEH000975
Abstract: A topology is constructed on a ring of polynomials that extends the topology on the coefficient ring and the topology on the set of variables. A topological analogue of the Hilbert basis theorem is proved.
Bibliography: 4 titles.
Received: 04.09.1980
Bibliographic databases:
UDC: 513.83
MSC: Primary 16A05, 16A33, 16A80, 54H13; Secondary 16A64
Language: English
Original paper language: Russian
Citation: V. I. Arnautov, A. V. Mikhalev, “Topologies on a ring of polynomials, and a topological analogue of the Hilbert basis theorem”, Math. USSR-Sb., 44:4 (1983), 417–430
Citation in format AMSBIB
\Bibitem{ArnMik81}
\by V.~I.~Arnautov, A.~V.~Mikhalev
\paper Topologies on a~ring of polynomials, and a~topological analogue of the Hilbert basis theorem
\jour Math. USSR-Sb.
\yr 1983
\vol 44
\issue 4
\pages 417--430
\mathnet{http://mi.mathnet.ru//eng/sm2477}
\crossref{https://doi.org/10.1070/SM1983v044n04ABEH000975}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=665849}
\zmath{https://zbmath.org/?q=an:0551.16012|0507.16027}
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  • https://www.mathnet.ru/eng/sm/v158/i4/p467
    • This publication is cited in the following 2 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:454
    Russian version PDF:185
    English version PDF:19
    References:59
    First page:2
     
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