Archiv der Mathematik

, Volume 53, Issue 1, pp 11–19 | Cite as

Valuation domains of bounded module type

  • Paolo Zanardo
Article
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Keywords

Module Type Valuation Domain 
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]
    W.Brandal, Commutative rings whose finitely generated modules decompose. LNM723, Berlin-Heidelberg-New York 1979.Google Scholar
  2. [2]
    A. Facchini andP. Zanardo, Discrete valuation domains and ranks of their maximal extensions. Rend. Sem. Mat. Univ. Padova75, 143–156 (1986).Google Scholar
  3. [3]
    L.Fuchs and L.Salce, Modules over valuation domains. Lecture Notes in Pure Appl. Math.97, New York 1985.Google Scholar
  4. [4]
    R.Gilmer, Multiplicative Ideal Theory. New York-Basel 1972.Google Scholar
  5. [5]
    B. Midgarden andS. Wiegand, Commutative rings of bounded module type. Comm. Algebra (10)9, 1001–1025 (1981).Google Scholar
  6. [6]
    N. Popescu, On a class of Prüfer domains. Rev. Roumaine Math. Pures Appl.29, 777–786 (1984).Google Scholar
  7. [7]
    L. Salce andP. Zanardo, Finitely generated modules over valuation rings. Comm. Algebra (15)12, 1795–1812 (1984).Google Scholar
  8. [8]
    L. Salce andP. Zanardo, Some cardinal invariants for valuation domains. Rend. Sem. Mat. Univ. Padova74, 205–217 (1985).Google Scholar
  9. [9]
    L. Salce andP. Zanardo, On two-generated modules over valuation domains. Arch. Math.46, 408–418 (1986).Google Scholar
  10. [10]
    R. B. Warfield, Jr., Decomposability of finitely presented modules. Proc. Amer. Math. Soc.25, 167–172 (1970).Google Scholar
  11. [11]
    R. Wiegand, Rings of bounded module type. Module Theory, LNM700, 143–150, Berlin-Heidelberg-New York 1978.Google Scholar
  12. [12]
    P. Zanardo, Valuation domains without pathological modules. J. Algebra (1)96, 1–8 (1985).Google Scholar
  13. [13]
    P. Zanardo, Indecomposable finitely generated modules over valuation domains. Ann. Univ. Ferrara Sez. VII — Sc. Mat.31, 71–89 (1985).Google Scholar
  14. [14]
    P. Zanardo, On the classification of indecomposable finitely generated modules over valuation domains. Comm. Algebra (11)13, 2473–2491 (1985).Google Scholar

Copyright information

© Birkhäuser Verlag 1989

Authors and Affiliations

  • Paolo Zanardo
    • 1
  1. 1.Dipartimento di Matematica Pura e ApplicataUniversità dell'AquilaL'AquilaItaly

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