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Groups of integer-valuated functions

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Abelian Group Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 874))

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6. References

  1. R. Baer: The hypercenter of a group, Acta Mathematica 89 (1953), 165–208

    Article  MathSciNet  MATH  Google Scholar 

  2. R. Baer: Gruppentheoretische Eigenschaften, Math. Annalen 149 (1963), 181–210

    Article  MathSciNet  MATH  Google Scholar 

  3. S. Balcerzyk: On factor groups of some subgroups of a complete direct sum of infinite cyclic groups, Bull. Acad. Polon. Sci. 7 (1959), 141–142

    MathSciNet  Google Scholar 

  4. G. Bergman: Boolean rings of projection maps, Journ. London Math.Soc. (2) 4 (1972), 593–598

    Article  MathSciNet  MATH  Google Scholar 

  5. S. U. Chase: On direct sums and products of modules, Pacif. J. Math. 12 (1962), 847–854

    Article  MathSciNet  MATH  Google Scholar 

  6. M. Dugas and R. Göbel: Algebraisch kompakte Faktorgruppen, Journal für die reine und angewandte Mathematik 307/308 (1979), 341–352

    MathSciNet  MATH  Google Scholar 

  7. M. Dugas and R. Göbel: Every cotorsion-free ring is an endomorphism ring, to appear in Proceedings London Math. Soc.

    Google Scholar 

  8. L. Fuchs: "Infinite Abelian Groups" Publ. House of the Hungar. Acad. Sciences, Budapest 1958

    MATH  Google Scholar 

  9. L. Fuchs: Note on certain subgroups of products of infinite cyclic groups, Comment. Math. Univ. St. Pauli 19 (1970), 51–54

    MathSciNet  MATH  Google Scholar 

  10. L. Fuchs: "Infinite Abelian Groups" Vol. I (1970), Vol. II (1973), Academic Press, New York

    MATH  Google Scholar 

  11. R. Göbel: On stout and slender groups, Journ. Algebra 53 (1975), 39–55

    Article  MathSciNet  MATH  Google Scholar 

  12. R. Göbel and B. Wald: Wachstumstypen und schlanke Gruppen, Symp. Math. Vol. XXIII (1979), 201–239

    MathSciNet  MATH  Google Scholar 

  13. R. Göbel and B. Wald: Lösung eines Problems of L. Fuchs, to appear in Journal of Algebra

    Google Scholar 

  14. G. Nöbeling: Verallgemeinerung eines Satzes von Herrn E. Specker, Inventiones Math. 6 (1968), 41–55

    Article  MathSciNet  MATH  Google Scholar 

  15. R. Nunke: Slender groups, Acta Sci. Math. Szeged 23 (1962), 67–73

    MathSciNet  MATH  Google Scholar 

  16. S. Sasiada: Proof that every countable and reduced torsion-free abelian group is slender, Bull. Acad. Polon. Sci. 7 (1959), 143–144

    MathSciNet  MATH  Google Scholar 

  17. E. Specker: Additive Gruppen von Folgen ganzer Zahlen, Portugaliae Math. 9 (1950), 131–140

    MathSciNet  MATH  Google Scholar 

  18. B. Wald: A note on slender groups, Arch. Math. 31 (1978), 432–434

    Article  MathSciNet  MATH  Google Scholar 

  19. B. Wald: Schlankheitsgrade kotorsionsfreier Gruppen, Dissertation Essen, 1979

    Google Scholar 

  20. P. Westphal: Gewisse Untergruppen der Gruppe ZI, Diplomarbeit Essen, 1981

    Google Scholar 

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Authors
  1. Rüdiger Göbel
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  2. Burkhard Wald
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  3. Petra Westphal
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Rüdiger Göbel Elbert Walker

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© 1981 Springer-Verlag

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Göbel, R., Wald, B., Westphal, P. (1981). Groups of integer-valuated functions. In: Göbel, R., Walker, E. (eds) Abelian Group Theory. Lecture Notes in Mathematics, vol 874. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090533

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  • DOI: https://doi.org/10.1007/BFb0090533

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10855-9

  • Online ISBN: 978-3-540-38767-1

  • eBook Packages: Springer Book Archive

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