Skip to main content
SpringerLink
Log in

Exchange rings and decompositions of modules

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Bass, H.: Finitistic Homological Dimension and a Homological Generalization of Semi-primary Rings, Trans. Amer. Math. Soc.95, 466–488 (1960).

    Google Scholar 

  2. Crawley, P., Jónsson, B.: Refinements for Infinite Direct Decompositions of Algebraic Systems, Pacific J. Math.14, 797–855 (1964).

    Google Scholar 

  3. Fuchs, L.: On quasi-injective modules, (to appear).

  4. Kaplansky, I.: Projective Modules, Ann. Math.68, 372–377 (1958).

    Google Scholar 

  5. Pierce, R. S.: Modules over Commutative Regular Rings, Mem. Amer. Math. Soc.70 (1967).

  6. Warfield, R. B., Jr.: A Krull-Schmidt Theorem for Infinite Sums of Modules, Proc. Amer. Math. Soc.22, 460–465 (1969).

    Google Scholar 

  7. —— Decompositions of Injective Modules, Pacific J. Math.31, 263–276 (1969).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Washington, 98105, Seattle, Washington, USA

    R. B. Warfield Jr.

Authors
  1. R. B. Warfield Jr.
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Research supported in part by N.S.F. Grant GP 12189.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Warfield, R.B. Exchange rings and decompositions of modules. Math. Ann. 199, 31–36 (1972). https://doi.org/10.1007/BF01419573

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01419573

Keywords

Search

Navigation