\Bibitem{Bel97}
\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
\mathnet{http://mi.mathnet.ru/eng/rm827}
\crossref{https://doi.org/10.1070/RM1997v052n02ABEH001786}
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Linking options:
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This publication is cited in the following 34 articles:
Yang Zhang, Jizhu Nan, Yongsheng Ma, “A conjecture of Mallows and Sloane with the universal denominator of Hilbert series”, Open Mathematics, 22:1 (2024)
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
Allan Berele, Springer INdAM Series, 44, Polynomial Identities in Algebras, 2021, 57
Centrone L., Souza Manuela da Silva, “On the Growth of Graded Polynomial Identities of Sl(N)”, Linear Multilinear Algebra, 65:4 (2017), 752–767
C. Procesi, “The geometry of polynomial identities”, Izv. Math., 80:5 (2016), 910–953
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
V. V. Belokurov, E. T. Shavgulidze, “Nonlinear nonlocal substitutions in functional integrals”, J. Math. Sci., 248:5 (2020), 544–552
Berele A., Catoiu S., “Asymptotic Behavior of S-N Degrees Associated With Rational Functions”, 208, no. 1, 2015, 351–372
Monographs and Research Notes in Mathematics, Computational Aspects of Polynomial Identities, 2015, 391
M. I. Kharitonov, “Otsenki, svyazannye s teoremoi Shirshova o vysote”, Chebyshevskii sb., 15:4 (2014), 55–123
Dangovski R., Drensky V., Findik S., “Weitzenbock Derivations of Free Metabelian Lie Algebras”, Linear Alg. Appl., 439:10 (2013), 3279–3296
A. Ya. Belov, M. I. Kharitonov, “Subexponential estimates in Shirshov's theorem on height”, Sb. Math., 203:4 (2012), 534–553
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
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
Centrone L., “A Note on Graded Gelfand-Kirillov Dimension of Graded Algebras”, J Algebra Appl, 10:5 (2011), 865–889
Alexei Belov-Kanel, Louis H. Rowen, Selected Works of A.I. Shirshov, 2009, 185