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Algebra i Analiz, 2006, Volume 18, Issue 4, Pages 198–214 (Mi aa83)  
This article is cited in 9 scientific papers (total in 9 papers)

Research Papers

Modules over the ring of pseudorational numbers and quotient divisible groups

A. V. Tsarev

Moscow State Pedagogical University
Full-text PDF (191 kB) Citations (9)
References:
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Abstract: Structure theorems are obtained for some classes of modules over the ring of pseudorational numbers and some classes of quotient divisible mixed groups.
Received: 21.11.2005
English version:
St. Petersburg Mathematical Journal, 2007, Volume 18, Issue 4, Pages 657–669
DOI: https://doi.org/10.1090/S1061-0022-07-00965-X
Bibliographic databases:
Document Type: Article
MSC: 16L99
Language: Russian
Citation: A. V. Tsarev, “Modules over the ring of pseudorational numbers and quotient divisible groups”, Algebra i Analiz, 18:4 (2006), 198–214; St. Petersburg Math. J., 18:4 (2007), 657–669
Citation in format AMSBIB
\Bibitem{Tsa06}
\by A.~V.~Tsarev
\paper Modules over the ring of pseudorational numbers and quotient divisible groups
\jour Algebra i Analiz
\yr 2006
\vol 18
\issue 4
\pages 198--214
\mathnet{http://mi.mathnet.ru/aa83}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2262588}
\zmath{https://zbmath.org/?q=an:1170.20311}
\transl
\jour St. Petersburg Math. J.
\yr 2007
\vol 18
\issue 4
\pages 657--669
\crossref{https://doi.org/10.1090/S1061-0022-07-00965-X}
Linking options:
  • https://www.mathnet.ru/eng/aa83
  • https://www.mathnet.ru/eng/aa/v18/i4/p198
    • This publication is cited in the following 9 articles:
    1. A. V. Tsarev, “A generalization of quotient divisible groups to the infinite rank case”, Siberian Math. J., 62:3 (2021), 554–559  mathnet  crossref  crossref  isi  elib
    2. P. A. Krylov, A. A. Tuganbaev, A. V. Tsarev, “sp-Groups and their endomorphism rings”, J. Math. Sci. (N. Y.), 256:3 (2021), 299–340  mathnet  crossref  mathscinet
    3. E. I. Kompantseva, A. A. Fomin, “Faktorno delimye gruppy i gruppy bez krucheniya, sootvetstvuyuschie konechnym abelevym gruppam”, Chebyshevskii sb., 20:2 (2019), 221–233  mathnet  crossref
    4. E. V. Gordeeva, A. A. Fomin, “Vpolne razlozhimye odnorodnye faktorno delimye abelevy gruppy”, Chebyshevskii sb., 19:2 (2018), 377–388  mathnet  crossref
    5. A. A. Fomin, “To quotient divisible group theory. I”, J. Math. Sci., 197:5 (2014), 688–697  mathnet  crossref
    6. A. V. Tsarev, “Module of pseudo-rational relations of quotient divisible group”, St. Petersburg Math. J., 22:1 (2011), 163–174  mathnet  crossref  mathscinet  zmath  isi
    7. E. A. Timoshenko, “Base fields of csp-rings”, Algebra and Logic, 49:4 (2010), 378–385  mathnet  crossref  mathscinet  zmath  isi
    8. P. A. Krylov, A. A. Tuganbaev, “Idempotent functors and localizations in categories of modules and Abelian groups”, J. Math. Sci., 183:3 (2012), 323–382  mathnet  crossref  mathscinet
    9. Tsarev A.V., “Dvoistvennost konechno porozhdennykh ploskikh R-modulei”, Vestn. Samarskogo gos. un-ta. Estestvennonauchn. ser., 2008, no. 2, 102–114  mathscinet  zmath
    Citing articles in Google Scholar: Russian citations, English citations
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    		Алгебра и анализ St. Petersburg Mathematical Journal
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