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Archiv der Mathematik

, Volume 39, Issue 6, pp 510–524 | Cite as

Infinite general linear groups over rings

  • Jutta Hausen
Article

Keywords

General Linear Linear Group General Linear Group 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [1]
    F. W.Anderson and K. R.Fuller, Rings and Categories of Modules. New York 1974.Google Scholar
  2. [2]
    H. Bass,K-theory and stable algebra. Inst. Hautes Études Sci. Publ. Math.22, 489–544 (1964).Google Scholar
  3. [3]
    J. Dieudonné, Les determinants sur un corps non commutatif. Bull. Soc. Math. France71, 27–45 (1943).Google Scholar
  4. [4]
    I. Golubchik, On the general linear group over an associative ring. Uspekhi Mat. Nauk.28, 179–180 (1973), (Russian).Google Scholar
  5. [5]
    N.Jacobson, Lectures in Abstract Algebra, Vol. II. New York 1953.Google Scholar
  6. [6]
    F.Kasch, Moduln und Ringe. Stuttgart 1977.Google Scholar
  7. [7]
    W. Klingenberg, Lineare Gruppen über lokalen Ringen. Amer. J. Math.89, 137–153 (1961).Google Scholar
  8. [8]
    G. Maxwell, Infinite general linear groups over rings. Trans. Amer. Math. Soc.151, 371–375 (1970).Google Scholar
  9. [9]
    B. R. McDonald,GL 2 of rings with many units. Comm. Algebra8, 869–888 (1980).Google Scholar
  10. [10]
    A. Rosenberg, The structure of the infinite general linear group. Ann. Math.68, 278–294 (1958).Google Scholar
  11. [11]
    W. Sierpinski, Cardinal and Ordinal Numbers. Polska Akademia Nauk., Warszawa 1958.Google Scholar
  12. [12]
    J. S. Wilson, The normal and subnormal structure of general linear groups. Proc. Cambridge Philos. Soc.71, 163–177 (1972).Google Scholar

Copyright information

© Birkhäuser Verlag 1982

Authors and Affiliations

  • Jutta Hausen
    • 1
  1. 1.Department of MathematicsUniversity of HoustonHouston

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