Loading [MathJax]/jax/output/SVG/config.js
Russian Mathematical Surveys
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Uspekhi Mat. Nauk:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Russian Mathematical Surveys, 1998, Volume 53, Issue 4, Pages 657–730
DOI: https://doi.org/10.1070/rm1998v053n04ABEH000056
(Mi rm56)
 

This article is cited in 39 scientific papers (total in 39 papers)

Serre's quantum problem

V. A. Artamonov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
References:
Received: 04.12.1996
Bibliographic databases:
Document Type: Article
UDC: 512.55
MSC: 81Rxx, 13M10
Language: English
Original paper language: Russian
Citation: V. A. Artamonov, “Serre's quantum problem”, Russian Math. Surveys, 53:4 (1998), 657–730
Citation in format AMSBIB
\Bibitem{Art98}
\by V.~A.~Artamonov
\paper Serre's quantum problem
\jour Russian Math. Surveys
\yr 1998
\vol 53
\issue 4
\pages 657--730
\mathnet{http://mi.mathnet.ru/eng/rm56}
\crossref{https://doi.org/10.1070/rm1998v053n04ABEH000056}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1668046}
\zmath{https://zbmath.org/?q=an:0931.16002}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1998RuMaS..53..657A}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000078716700002}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0006114515}
Linking options:
  • https://www.mathnet.ru/eng/rm56
  • https://doi.org/10.1070/rm1998v053n04ABEH000056
  • https://www.mathnet.ru/eng/rm/v53/i4/p3
  • This publication is cited in the following 39 articles:
    1. Ashish Gupta, Umamaheswaran Arunachalam, “Gelfand–Kirillov dimensions of simple modules over twisted group algebras $k \ast A$”, Izv. Math., 86:4 (2022), 715–726  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    2. A. M. Elishev, A. Ya. Belov, F. Razavinia, Yu Jie-Tai, Wenchao Zhang, “Polynomial automorphisms, quantization, and Jacobian conjecture related problems. I. Introduction”, Geometriya, mekhanika i differentsialnye uravneniya, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 213, VINITI RAN, M., 2022, 110–144  mathnet  crossref
    3. A. M. Elishev, A. Ya. Belov, F. Razavinia, Yu Jie-Tai, Wenchao Zhang, “Polynomial automorphisms, quantization, and Jacobian conjecture related problems. II. Quantization proof of Bergman's centralizer theorem”, Algebra, geometriya i kombinatorika, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 214, VINITI RAN, M., 2022, 107–126  mathnet  crossref
    4. A. M. Elishev, A. Ya. Belov, F. Razavinia, Yu Dzhi-Tai, Venchao Zheng, “Polinomialnye avtomorfizmy, kvantovanie i zadachi vokrug gipotezy Yakobiana. III. Avtomorfizmy, topologiya popolneniya i approksimatsiya”, Algebra, geometriya i kombinatorika, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 215, VINITI RAN, M., 2022, 95–128  mathnet  crossref
    5. A. M. Elishev, A. Ya. Belov, F. Razavinia, Yu Dzhi-Tai, Venchao Zheng, “Polinomialnye avtomorfizmy, kvantovanie i zadachi vokrug gipotezy Yakobiana. IV. Approksimatsii polinomialnymi simplektomorfizmami”, Algebra, geometriya, differentsialnye uravneniya, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 216, VINITI RAN, M., 2022, 153–171  mathnet  crossref
    6. A. M. Elishev, A. Ya. Belov, F. Razavinia, Yu Dzhi-Tai, Venchao Zheng, “Polinomialnye avtomorfizmy, kvantovanie i zadachi vokrug gipotezy Yakobiana. V. Gipoteza Yakobiana i problemy tipa Shpekhta i Bernsaida”, Algebra, geometriya, differentsialnye uravneniya, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 217, VINITI RAN, M., 2022, 107–137  mathnet  crossref
    7. Johnson F.E.A., “Cancellation and Stability Properties of Generalized Torsion Modules”, Rocky Mt. J. Math., 51:2 (2021), 585–591  crossref  isi
    8. Lezama O., “Some Open Problems in the Context of Skew Pbw Extensions and Semi-Graded Rings”, Commun. Math. Stat., 9:3 (2021), 347–378  crossref  isi
    9. Alex Behakanira Tumwesigye, Johan Richter, Sergei Silvestrov, Springer Proceedings in Mathematics & Statistics, 317, Algebraic Structures and Applications, 2020, 469  crossref
    10. Fajardo W., Lezama O., “Elementary Matrix-Computational Proof of Quillen-Suslin Theorem For Ore Extensions”, Fundam. Inform., 164:1 (2019), 41–59  crossref  mathscinet  isi  scopus
    11. Fajardo W., “A Computational Maple Library For Skew Pbw Extensions”, Fundam. Inform., 167:3 (2019), 159–191  crossref  isi
    12. Belov A.K., Razavinia F., Zhang W., “Bergman'S Centralizer Theorem and Quantization”, Commun. Algebr., 46:5 (2018), 2123–2129  crossref  mathscinet  zmath  isi  scopus  scopus
    13. Lezama O., Gallego C., “Projective modules and Gröbner bases for skew PBW extensions”, Diss. Math., 2017, no. 521, 1–50  crossref  mathscinet  zmath  isi  scopus
    14. Trans. Moscow Math. Soc., 78 (2017), 235–256  mathnet  crossref  elib
    15. Viacheslav Artamonov, Oswaldo Lezama, William Fajardo, “Extended Modules and Ore Extensions”, Commun. Math. Stat., 4:2 (2016), 189  crossref
    16. Lezama O., Pablo Acosta J., Reyes Villamil M.A., “Prime Ideals of Skew Pbw Extensions”, 56, no. 2, 2015, 39–55  mathscinet  zmath  isi
    17. Cristian Arturo Chaparro Acosta, “Valuations of skew quantum polynomials”, Asian-European J. Math., 08:02 (2015), 1550018  crossref
    18. Oswaldo Lezama, Armando Reyes, “Some Homological Properties of SkewPBWExtensions”, Communications in Algebra, 42:3 (2014), 1200  crossref  mathscinet  zmath  isi  scopus  scopus
    19. Oswaldo Lezama, J.P.ablo Acosta, Cristian Chaparro, Ingrid Ojeda, César Venegas, “ORE AND GOLDIE THEOREMS FOR SKEW PBW EXTENSIONS”, Asian-European J. Math, 2013, 1350061  crossref  mathscinet  zmath  scopus  scopus
    20. ASHISH GUPTA, “MODULES OVER QUANTUM Laurent POLYNOMIALS”, J. Aust. Math. Soc, 91:03 (2012), 323  crossref  mathscinet  isi  scopus  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Успехи математических наук Russian Mathematical Surveys
    Statistics & downloads:
    Abstract page:995
    Russian version PDF:482
    English version PDF:56
    References:81
    First page:3
     
      Contact us:
    math-net2025_04@mi-ras.ru
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025