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Matematicheskie Zametki, 1996, Volume 59, Issue 4, Pages 497–503
DOI: https://doi.org/10.4213/mzm1745 (Mi mzm1745) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Modules over quantum polynomials

V. A. Artamonov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (175 kB) Citations (7)
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DOI: https://doi.org/10.4213/mzm1745
Abstract: We describe the structure of finitely generated modules over general quantum Laurent polynomials and prove that Artin modules over general quantum Laurent polynomials are cyclic.
Received: 31.01.1995
English version:
Mathematical Notes, 1996, Volume 59, Issue 4, Pages 356–360
DOI: https://doi.org/10.1007/BF02308684
Bibliographic databases:
UDC: 512.5
Language: Russian
Citation: V. A. Artamonov, “Modules over quantum polynomials”, Mat. Zametki, 59:4 (1996), 497–503; Math. Notes, 59:4 (1996), 356–360
Citation in format AMSBIB
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\paper Modules over quantum polynomials
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\pages 497--503
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\transl
\jour Math. Notes
\yr 1996
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\pages 356--360
\crossref{https://doi.org/10.1007/BF02308684}
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  • https://www.mathnet.ru/eng/mzm1745
  • https://doi.org/10.4213/mzm1745
  • https://www.mathnet.ru/eng/mzm/v59/i4/p497
    • This publication is cited in the following 7 articles:
    1. Ashish Gupta, Umamaheswaran Arunachalam, “Gelfand–Kirillov dimensions of simple modules over twisted group algebras k∗A”, Izv. Math., 86:4 (2022), 715–726  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    2. Artamonov V., “General Quantum Polynomials”, Algebra, ed. Bahturin Y., Walter de Gruyter & Co, 2000, 35–48  mathscinet  zmath  isi
    3. V. A. Artamonov, “General quantum polynomials: irreducible modules and Morita equivalence”, Izv. Math., 63:5 (1999), 847–880  mathnet  crossref  crossref  mathscinet  zmath  isi
    4. V. A. Artamonov, “On projective modules over quantum polynomials”, J Math Sci, 93:2 (1999), 135  crossref
    5. V. A. Artamonov, “Serre's quantum problem”, Russian Math. Surveys, 53:4 (1998), 657–730  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    6. V. A. Artamonov, “Periodic modules over general quantum Laurent polynomials”, Math. Notes, 61:1 (1997), 9–15  mathnet  crossref  crossref  mathscinet  zmath  isi
    7. V. A. Artamonov, “Irreducible modules over quantum polynomials”, Russian Math. Surveys, 51:6 (1996), 1191–1192  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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