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Fundamentalnaya i Prikladnaya Matematika, 2006, Volume 12, Issue 8, Pages 79–96 (Mi fpm29)  
This article is cited in 4 scientific papers (total in 4 papers)

Finite Gröbner basis algebra with unsolvable problem of zero divisors

I. A. Ivanov-Pogodaev

M. V. Lomonosov Moscow State University
Full-text PDF (193 kB) Citations (4)
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Abstract: This work presents a sample construction of an algebra with the ideal of relations defined by a finite Gröbner basis for which the question whether this element is a zero divisor is algorithmically unsolvable. This gives the negative answer to a question raised by V. N. Latyshev.
English version:
Journal of Mathematical Sciences (New York), 2008, Volume 152, Issue 2, Pages 191–202
DOI: https://doi.org/10.1007/s10958-008-9062-y
Bibliographic databases:
UDC: 512.552.4+512.532.2
Language: Russian
Citation: I. A. Ivanov-Pogodaev, “Finite Gröbner basis algebra with unsolvable problem of zero divisors”, Fundam. Prikl. Mat., 12:8 (2006), 79–96; J. Math. Sci., 152:2 (2008), 191–202
Citation in format AMSBIB
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\by I.~A.~Ivanov-Pogodaev
\paper Finite Gr\"obner basis algebra with unsolvable problem of zero divisors
\jour Fundam. Prikl. Mat.
\yr 2006
\vol 12
\issue 8
\pages 79--96
\mathnet{http://mi.mathnet.ru/fpm29}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2314024}
\zmath{https://zbmath.org/?q=an:1146.13015}
\transl
\jour J. Math. Sci.
\yr 2008
\vol 152
\issue 2
\pages 191--202
\crossref{https://doi.org/10.1007/s10958-008-9062-y}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-50249123359}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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