Skip to main content
SpringerLink
Log in

Decomposition of modules

II. Rings without chain conditions

  • Published:
Mathematische Zeitschrift 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. Amitsur, S. A.: General theory of radicals II: Radicals in rings and bicategories. Amer. J. Math.76, 100–125 (1954).

    Google Scholar 

  2. Cohn, P. M.: Non-commutative unique factorization domains. Trans. Amer. Math. Soc.109, 313–331 (1963).

    Google Scholar 

  3. Dickson, S. E.: A torsion theory for Abelian categories. Trans. Amer. Math. Soc.121, 223–235 (1966).

    Google Scholar 

  4. — Decomposition of modules I: Classical rings. Math. Zeitschrift90, 9–13 (1965).

    Google Scholar 

  5. Dickson, S. E.: Direct decompositions of radicals. Proceedings of the Conference on Categorical Algebra, La Jolla, California, June 1965, 366–374.

  6. Gabriel, P.: Des catégories abéliennes. Bull. Soc. Math. France90, 323–448 (1962).

    Google Scholar 

  7. Kurosch, A. G.: Radicals in rings and algebras. Mat. Sb. (N.S..)33 (75), 13–26 (1953) [Russian].

    Google Scholar 

  8. Maranda, J. M.: Injective structures. Trans. Amer. Math. Soc.110, 98–135 (1964).

    Google Scholar 

  9. Matlis, E.: Modules with descending chain condition. Trans. Amer. Math. Soc.97, 495–508 (1960).

    Google Scholar 

  10. Northcott, D. G.: An introduction to homological algebra. Cambridge University Press 1960.

  11. Northcott, D. G. Ideal theory. Cambridge tract no. 42, 1960.

  12. Van Der Waerden: Modern Algebra, vol. II (Eng. transl.). New York: Ungar 1950.

    Google Scholar 

  13. Walker, C. L., andE. A. Walker: Quotient categories and rings of quotiets (to appear).

  14. Walker, E. A.: Quotient categories and quasi-isomorphisms of abelian groups. Proceedings of the Colloquium on Abelian Groups, Tihany, Hungary, Sept. 1963, 147–162.

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Southern California, 90007, Los Angeles, California, USA

    Spencer E. Dickson

Authors
  1. Spencer E. Dickson
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dickson, S.E. Decomposition of modules. Math Z 104, 349–357 (1968). https://doi.org/10.1007/BF01110426

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01110426

Search

Navigation