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Algebra i Analiz, 2007, Volume 19, Issue 6, Pages 143–172 (Mi aa150)  
This article is cited in 1 scientific paper (total in 1 paper)

Research Papers

Inequalities for Hilbert functions and primary decompositions

A. L. Chistov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (433 kB) Citations (1)
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Abstract: Upper bounds are found for the characteristic function of a homogeneous polynomial ideal $I$; such estimates were previously known only for a radical ideal $I$. An analog of the first Bertini theorem for primary decompositions is formulated and proved. Also, a new representation for primary ideals and modules is introduced and used, which is convenient from an algorithmic point of view.
Keywords: Characteristic function of an ideal, first Bertini theorem, Hilbert functions.
Received: 10.05.2007
English version:
St. Petersburg Mathematical Journal, 2008, Volume 19, Issue 6, Pages 975–994
DOI: https://doi.org/10.1090/S1061-0022-08-01031-5
Bibliographic databases:
Document Type: Article
MSC: 12F15, 12F20
Language: Russian
Citation: A. L. Chistov, “Inequalities for Hilbert functions and primary decompositions”, Algebra i Analiz, 19:6 (2007), 143–172; St. Petersburg Math. J., 19:6 (2008), 975–994
Citation in format AMSBIB
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\paper Inequalities for Hilbert functions and primary decompositions
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\vol 19
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\pages 143--172
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\transl
\jour St. Petersburg Math. J.
\yr 2008
\vol 19
\issue 6
\pages 975--994
\crossref{https://doi.org/10.1090/S1061-0022-08-01031-5}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000267497100007}
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  • https://www.mathnet.ru/eng/aa150
  • https://www.mathnet.ru/eng/aa/v19/i6/p143
    • This publication is cited in the following 1 articles:
    1. A. L. Chistov, “Vychislenie izolirovannykh primarnykh komponent polinomialnogo ideala za subeksponentsialnoe vremya”, Teoriya predstavlenii, dinamicheskie sistemy, kombinatornye metody. XXXI, Zap. nauchn. sem. POMI, 498, POMI, SPb., 2020, 64–74  mathnet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
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    Full-text PDF :109
    References:71
    First page:12
     
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