Algebra i logika
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 Logika:
Year:
Volume:
Issue:
Page:
Find




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

Algebra i logika, 2001, Volume 40, Number 1, Pages 60–82 (Mi al209)  
This article is cited in 11 scientific papers (total in 11 papers)

Affine Module Groups and Their Automorphisms

P. A. Krylov
Full-text PDF (3528 kB) Citations (11)
Abstract: An affine module group is a semidirect extension of an additive module group by its automorphism group. Maximal Abelian normal subgroups of an affine group are described. It is proved that operator isomorphisms of affine groups are induced by module automorphisms. Automorphisms of an affine group which do not leave a module fixed are treated. And conditions are specified for a module to be non-characteristic in its affine group.
Keywords: affine module group, maximal Abelian normal subgroup, automorphism.
Received: 16.04.1999
English version:
Algebra and Logic, 2001, Volume 40, Issue 1, Pages 34–46
DOI: https://doi.org/10.1023/A:1002802222089
Bibliographic databases:
UDC: 512.55+512.54
Language: Russian
Citation: P. A. Krylov, “Affine Module Groups and Their Automorphisms”, Algebra Logika, 40:1 (2001), 60–82; Algebra and Logic, 40:1 (2001), 34–46
Citation in format AMSBIB
\Bibitem{Kry01}
\by P.~A.~Krylov
\paper Affine Module Groups and Their Automorphisms
\jour Algebra Logika
\yr 2001
\vol 40
\issue 1
\pages 60--82
\mathnet{http://mi.mathnet.ru/al209}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1852789}
\zmath{https://zbmath.org/?q=an:0979.20044}
\transl
\jour Algebra and Logic
\yr 2001
\vol 40
\issue 1
\pages 34--46
\crossref{https://doi.org/10.1023/A:1002802222089}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-52549121483}
Linking options:
  • https://www.mathnet.ru/eng/al209
  • https://www.mathnet.ru/eng/al/v40/i1/p60
    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
    Statistics & downloads:
    Abstract page:348
    Full-text PDF :149
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024