Mathematische Annalen

, Volume 113, Issue 1, pp 686–691

On the immersion of an algebraic ring into a field

  • A. Malcev


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  1. 1).
    See e. g. O. Schmidt. The Abstract Theory of Groups (in Russian). Kiev 1916, p. 58.Google Scholar
  2. 2).
    This can be proved in the same way as the theorem is proved that every commutative ring without divisors of 0 can be immersed into a field (i. e. considering “quotients”a/b). See B. L. v. d. Waerden. Moderne Algebra Berlin 1930, Bd. I, S. 47–48.Google Scholar
  3. 3).
    A. Suschkewitsch, Über die Erweiterung der Semigruppe bis zur ganzen Gruppe. Commun. Soc. Math. Kharkoff et Inst. Sci. de Math. et Mécan. Univ. Kharkoff (4)12 (1935), 81–86 (in Russian).Google Scholar
  4. 4).
    See e.g. v. d. Waerden, op. cit.Moderne Algebra. Berlin 1930, Bd. I, S. 49.Google Scholar

Copyright information

© Springer-Verlag 1937

Authors and Affiliations

  • A. Malcev
    • 1
  1. 1.Moskau

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