Algebra and Discrete Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Algebra Discrete Math.:
Year:
Volume:
Issue:
Page:
Find




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

Algebra and Discrete Mathematics, 2013, Volume 15, Issue 2, Pages 161–173 (Mi adm418)  
This article is cited in 1 scientific paper (total in 1 paper)

SURVEY ARTICLE

On Baer–Shemetkov's decomposition in modules and related topics

V. V. Kirichenkoa, L. A. Kurdachenkob, A. A. Pypkab, I. Ya. Subbotinc

a Department of Geometry, School of Mechanics and Mathematics, Kyiv National Taras Shevchenko University, Volodymyrska, 64, Kyiv, 01033, Ukraine
b Department of Geometry and Algebra, School of Mechanics and Mathematics, Oles Honchar Dnipropetrovsk National University, Gagarin prospect, 72, Dnipropetrovsk, 49010, Ukraine
c Department of Mathematics and Natural Sciences, College of Letters and Sciences, National University, 5245 Pacific Concourse Drive, Los Angeles, CA 90045-6904, USA
Full-text PDF (194 kB) Citations (1)
References:
PDF
HTML
Abstract: This article is dedicated to the memory of an outstanding algebraist Leonid A. Shemetkov. His ideas and results not only shaped modern soluble finite group theory, but significantly influenced other branches of algebra. In this article, we traced the influence of L. A. Shemetkov's ideas on some areas of modules theory and infinite groups theory.
Keywords: formation, modules over group rings, artinian modules, direct decomposition, complement, supplement.
Received: 23.04.2013
Revised: 23.04.2013
Bibliographic databases:
Document Type: Article
MSC: 13E10, 20F17, 20F19
Language: English
Citation: V. V. Kirichenko, L. A. Kurdachenko, A. A. Pypka, I. Ya. Subbotin, “On Baer–Shemetkov's decomposition in modules and related topics”, Algebra Discrete Math., 15:2 (2013), 161–173
Citation in format AMSBIB
\Bibitem{KirKurPyp13}
\by V.~V.~Kirichenko, L.~A.~Kurdachenko, A.~A.~Pypka, I.~Ya.~Subbotin
\paper On Baer--Shemetkov's decomposition in modules and related topics
\jour Algebra Discrete Math.
\yr 2013
\vol 15
\issue 2
\pages 161--173
\mathnet{http://mi.mathnet.ru/adm418}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3157314}
Linking options:
  • https://www.mathnet.ru/eng/adm418
  • https://www.mathnet.ru/eng/adm/v15/i2/p161
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Algebra and Discrete Mathematics
    Statistics & downloads:
    Abstract page:202
    Full-text PDF :78
    References:48
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024