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Izvestiya: Mathematics, 1999, Volume 63, Issue 5, Pages 847–880
DOI: https://doi.org/10.1070/im1999v063n05ABEH000259 (Mi im259) 		 
This article is cited in 12 scientific papers (total in 12 papers)

General quantum polynomials: irreducible modules and Morita equivalence

V. A. Artamonov

M. V. Lomonosov Moscow State University
English version PDF (557 kB) Citations (12)
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DOI: https://doi.org/10.1070/im1999v063n05ABEH000259
Abstract: In this paper we continue the investigation of the structure of finitely generated modules over rings of general quantum (Laurent) polynomials. We obtain a description of the lattice of submodules of periodic finitely generated modules and describe the irreducible modules. We investigate the problem of Morita equivalence of rings of general quantum polynomials, consider properties of division rings of fractions, and solve Zariski's problem for quantum polynomials.
Received: 18.02.1997
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1999, Volume 63, Issue 5, Pages 3–36
DOI: https://doi.org/10.4213/im259
Bibliographic databases:
MSC: 16D40, 16D70, 16E20, 16S35, 16S36, 16W30, 17B37
Language: English
Original paper language: Russian
Citation: V. A. Artamonov, “General quantum polynomials: irreducible modules and Morita equivalence”, Izv. RAN. Ser. Mat., 63:5 (1999), 3–36; Izv. Math., 63:5 (1999), 847–880
Citation in format AMSBIB
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\by V.~A.~Artamonov
\paper General quantum polynomials: irreducible modules and Morita equivalence
\jour Izv. RAN. Ser. Mat.
\yr 1999
\vol 63
\issue 5
\pages 3--36
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\crossref{https://doi.org/10.4213/im259}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1727589}
\zmath{https://zbmath.org/?q=an:0974.16019}
\transl
\jour Izv. Math.
\yr 1999
\vol 63
\issue 5
\pages 847--880
\crossref{https://doi.org/10.1070/im1999v063n05ABEH000259}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000085381600001}
Linking options:
  • https://www.mathnet.ru/eng/im259
  • https://doi.org/10.1070/im1999v063n05ABEH000259
  • https://www.mathnet.ru/eng/im/v63/i5/p3
    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:491
    Russian version PDF:210
    English version PDF:13
    References:56
    First page:3
     
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