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Abelian Groups and Modules pp 361–371Cite as

On Modules of Finite Projective Dimension over Valuation Domains

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

Abstract

In this note we consider only modules over valuation domains R.

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References

  1. Auslander, L., On the dimension of modules and algebras. III, Nagoya Math. J. 9 (1955), 67–77.

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  2. Fuchs, L, On projective dimensionsof modules over valuation domains, Abelian Group Theory, Lecture Notes in Math. 1006 (1983); 589–598.

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  3. Osofsky, B., Global dimension of valuation rings. Trans. Amer. Math. Soc. 127 (1967), 136–149.

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  4. , Projective dimension of “nice” directed unions. J. Pure and and Applied Alg. 13 (1978), 179–219.

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Author information

Authors and Affiliations

  1. Università di Padova, Italy

    S. Bazzoni

  2. Tulane University, New Orleans, USA

    L. Fuchs

Authors
  1. S. Bazzoni
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  2. L. Fuchs
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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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Cite this paper

Bazzoni, S., Fuchs, L. (1984). On Modules of Finite Projective Dimension over Valuation Domains. 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_27

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  • DOI: https://doi.org/10.1007/978-3-7091-2814-5_27

  • 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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