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E-Uniserial Torsion-Free Abelian Groups of Finite Rank

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Abelian Groups and Modules

Part of the book series: International Centre for Mechanical Sciences ((CISM,volume 287))

Abstract

An abelian group A is said to be E-uniserial if the lattice of fully invariant subgroups of A is a chain.

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References

  1. D. M. Arnold, Strongly homogeneous torsion-free abelian groups of finite rank, Proc. Amer. Math. Soc. 56 (1976), 67–72.

    Article  MATH  MathSciNet  Google Scholar 

  2. D. M. Arnold and E. L. Lady, Endomorphism rings and direct sums of torsion free abelian groups, Trans. Amer. Math. Soc. 211 (1975), 225–237.

    Article  MATH  MathSciNet  Google Scholar 

  3. R. A. Bowshell and P. Schultz, Unital rings whose additive endomor-phisms commute, Math. Ann. 228 (1977), 197–214.

    Article  MATH  MathSciNet  Google Scholar 

  4. J. Hausen, Abelian groups which are uniserial as modules over their endomorphism rings, Abelian Group Theory, Lecture Notes in Mathematics, Vol. 1006, Springer-Verlag, Berlin 1983, pp. 204–208.

    Article  MathSciNet  Google Scholar 

  5. I. Kaplansky, “Infinite Abelian Groups”, Revised Edition, The University of Michigan Press, Ann Arbor 1969.

    MATH  Google Scholar 

  6. J. D. Reid, On the ring of quasi-endomorphisms of a torsion-free group, Topics in Abelian Groups, Scott, Foresman, Chicago 1963, pp. 51–68.

    Google Scholar 

  7. J. D. Reid, On rings on groups, Pacific J. Math. 53 (1974), 229–237.

    Article  MATH  MathSciNet  Google Scholar 

  8. J. D. Reid, Abelian groups finitely generated over their endomorphism rings, Abelian Group Theory, Lecture Notes in Mathematics Vol. 874, Springer-Verlag, Berlin 1981, pp. 41–52.

    Article  Google Scholar 

  9. P. Schultz, The endomorphism ring of the additive group of a ring, J. Austral. Math. Soc. 15 (1973), 60–69.

    Article  MATH  MathSciNet  Google Scholar 

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Author information

Authors and Affiliations

  1. University of Houston, University Park, USA

    Jutta Hausen

Authors
  1. Jutta Hausen
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Editor information

Editors and Affiliations

  1. Universität Essen, Germany

    R. Göbel

  2. Universita’ di Padova, Italy

    C. Metelli  & A. Orsatti  & 

  3. Universita’ di Udine, Italy

    L. Salce

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© 1984 Springer-Verlag Wien

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Hausen, J. (1984). E-Uniserial Torsion-Free Abelian Groups of Finite Rank. In: Göbel, R., Metelli, C., Orsatti, A., Salce, L. (eds) Abelian Groups and Modules. International Centre for Mechanical Sciences, vol 287. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2814-5_11

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  • DOI: https://doi.org/10.1007/978-3-7091-2814-5_11

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-81847-3

  • Online ISBN: 978-3-7091-2814-5

  • eBook Packages: Springer Book Archive

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