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Fundamentalnaya i Prikladnaya Matematika, 2004, Volume 10, Issue 3, Pages 143–156 (Mi fpm775)  
This article is cited in 1 scientific paper (total in 1 paper)

Sets of Hilbert series and their applications

D. I. Piontkovskii

Central Economics and Mathematics Institute, RAS
Full-text PDF (168 kB) Citations (1)
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Abstract: We consider graded finitely presented algebras and modules over a field. Under some restrictions, the set of Hilbert series of such algebras (or modules) becomes finite. Claims of that type imply the rationality of Hilbert and Poincaré series of some algebras and modules, including the periodicity of Hilbert functions of many (e.g., Noetherian) modules and algebras of linear growth.
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 139, Issue 4, Pages 6753–6761
DOI: https://doi.org/10.1007/s10958-006-0388-z
Bibliographic databases:
UDC: 512.55
Language: Russian
Citation: D. I. Piontkovskii, “Sets of Hilbert series and their applications”, Fundam. Prikl. Mat., 10:3 (2004), 143–156; J. Math. Sci., 139:4 (2006), 6753–6761
Citation in format AMSBIB
\Bibitem{Pio04}
\by D.~I.~Piontkovskii
\paper Sets of Hilbert series and their applications
\jour Fundam. Prikl. Mat.
\yr 2004
\vol 10
\issue 3
\pages 143--156
\mathnet{http://mi.mathnet.ru/fpm775}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2123347}
\zmath{https://zbmath.org/?q=an:1073.16043}
\transl
\jour J. Math. Sci.
\yr 2006
\vol 139
\issue 4
\pages 6753--6761
\crossref{https://doi.org/10.1007/s10958-006-0388-z}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33750507237}
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  • https://www.mathnet.ru/eng/fpm/v10/i3/p143
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Фундаментальная и прикладная математика
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    Full-text PDF :104
    References:32
    First page:1
     
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