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Russian Mathematical Surveys, 1997, Volume 52, Issue 2, Pages 394–395
DOI: https://doi.org/10.1070/RM1997v052n02ABEH001786
(Mi rm827)
 

This article is cited in 33 scientific papers (total in 34 papers)

In the Moscow Mathematical Society
Communications of the Moscow Mathematical Society

On the rationality of Hilbert series of relatively free algebras

A. Ya. Belov
References:
Accepted: 18.12.1996
Bibliographic databases:
Document Type: Article
Language: English
Original paper language: Russian
Citation: A. Ya. Belov, “On the rationality of Hilbert series of relatively free algebras”, Russian Math. Surveys, 52:2 (1997), 394–395
Citation in format AMSBIB
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\by A.~Ya.~Belov
\paper On the rationality of Hilbert series of relatively free algebras
\jour Russian Math. Surveys
\yr 1997
\vol 52
\issue 2
\pages 394--395
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Linking options:
  • https://www.mathnet.ru/eng/rm827
  • https://doi.org/10.1070/RM1997v052n02ABEH001786
  • https://www.mathnet.ru/eng/rm/v52/i2/p153
  • This publication is cited in the following 34 articles:
    1. Yang Zhang, Jizhu Nan, Yongsheng Ma, “A conjecture of Mallows and Sloane with the universal denominator of Hilbert series”, Open Mathematics, 22:1 (2024)  crossref
    2. Centrone L., Estrada A., Ioppolo A., “On Pi-Algebras With Additional Structures: Rationality of Hilbert Series and Specht'S Problem”, J. Algebra, 592 (2022), 300–356  crossref  isi
    3. Zaffar Iqbal, Xiujun Zhang, Mobeen Munir, Ghina Mubashar, “Hilbert series of mixed braid monoid $ MB_{2, 2} $”, MATH, 7:9 (2022), 17080  crossref
    4. I. A. Reshetnikov, “Kombinatorika slov, faktordinamika i normalnye formy”, Chebyshevskii sb., 22:2 (2021), 202–235  mathnet  crossref
    5. Roberto La Scala, Dmitri Piontkovski, Springer INdAM Series, 44, Polynomial Identities in Algebras, 2021, 279  crossref
    6. Vesselin Drensky, Springer INdAM Series, 44, Polynomial Identities in Algebras, 2021, 157  crossref
    7. Allan Berele, Springer INdAM Series, 44, Polynomial Identities in Algebras, 2021, 57  crossref
    8. Centrone L., Souza Manuela da Silva, “On the Growth of Graded Polynomial Identities of Sl(N)”, Linear Multilinear Algebra, 65:4 (2017), 752–767  crossref  mathscinet  zmath  isi  scopus  scopus
    9. C. Procesi, “The geometry of polynomial identities”, Izv. Math., 80:5 (2016), 910–953  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    10. KanelBelov A. Karasik Y. Rowen L., “Computational Aspects of Polynomial Identities: Vol 1, Kemer'S Theorems, 2Nd Edition”, Computational Aspects of Polynomial Identities: Vol 1, Kemer'S Theorems, 2Nd Edition, Monographs and Research Notes in Mathematics, 16, Crc Press-Taylor & Francis Group, 2016, 1–407  mathscinet  isi
    11. V. V. Belokurov, E. T. Shavgulidze, “Nonlinear nonlocal substitutions in functional integrals”, J. Math. Sci., 248:5 (2020), 544–552  mathnet  crossref
    12. Berele A., Catoiu S., “Asymptotic Behavior of S-N Degrees Associated With Rational Functions”, 208, no. 1, 2015, 351–372  crossref  mathscinet  zmath  isi  scopus  scopus
    13. Monographs and Research Notes in Mathematics, Computational Aspects of Polynomial Identities, 2015, 391  crossref
    14. M. I. Kharitonov, “Otsenki, svyazannye s teoremoi Shirshova o vysote”, Chebyshevskii sb., 15:4 (2014), 55–123  mathnet
    15. Dangovski R., Drensky V., Findik S., “Weitzenbock Derivations of Free Metabelian Lie Algebras”, Linear Alg. Appl., 439:10 (2013), 3279–3296  crossref  mathscinet  zmath  isi  scopus  scopus
    16. A. Ya. Belov, M. I. Kharitonov, “Subexponential estimates in Shirshov's theorem on height”, Sb. Math., 203:4 (2012), 534–553  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    17. A. Ya. Belov, M. I. Kharitonov, “Subexponential estimates in the height theorem and estimates on numbers of periodic parts of small periods”, J. Math. Sci., 193:4 (2013), 493–515  mathnet  crossref
    18. Aljadeff E., Kanel-Belov A., “Hilbert Series of Pi Relatively Free G-Graded Algebras Are Rational Functions”, Bull. London Math. Soc., 44:Part 3 (2012), 520–532  crossref  mathscinet  zmath  isi  elib  scopus  scopus
    19. Centrone L., “A Note on Graded Gelfand-Kirillov Dimension of Graded Algebras”, J Algebra Appl, 10:5 (2011), 865–889  crossref  mathscinet  zmath  isi  elib  scopus  scopus
    20. Alexei Belov-Kanel, Louis H. Rowen, Selected Works of A.I. Shirshov, 2009, 185  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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