Skip to main content
SpringerLink
Log in

Rings for which every cyclic module is quasi-projective

  • 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 dimension and a homological generalization of semi-primary rings. Trans. Amer. Math. Soc.95, 466–488 (1960).

    Google Scholar 

  2. Faith, C.: Lectures on injective modules and quotient rings. Berlin-Heidelberg-New York: Springer 1967.

    Google Scholar 

  3. Golan, J. S.: Characterization of semisimple and perfect rings using quasi-projective modules. Israel J. Math. (to appear).

  4. Harada, M.: Note on quasi-injective modules. Osaka J. Math.2, 351–356 (1965).

    Google Scholar 

  5. Jain, S. K., Mohamed, S. H., Singh, Surjeet: Rings in which every right ideal is quasi-injective. Pacific J. Math.30, 73–79 (1969).

    Google Scholar 

  6. Johnson, R. E., Wong, E. T.: Quasi-injective modules and irreducible rings. J. London Math. Soc.36, 260–268 (1961).

    Google Scholar 

  7. Lambek, J.: Lectures on rings and modules. Toronto: Blaisdell Publishing Co., 1966.

    Google Scholar 

  8. Miyashita, Y.: On quasi-injective modules. J. Fac. Sci. Hokkaido Univ.18, 158–187 (1965).

    Google Scholar 

  9. —— Quasi-projective modules, perfect modules, and a theorem for modular lattices. J. Fac. Hokkaido Univ. (I)29, 86–110 (1966).

    Google Scholar 

  10. Mohamed, S. H.:q-rings with chain conditions. J. London Math. Soc. (to appear).

  11. Nakayama, T.: On Frobeniusean algebra II. Annals of Math.42, 1–21 (1941).

    Google Scholar 

  12. Osofsky, B. L.: A generalization of quasi-Frobenius rings. J. Algebra4, 373–387 (1966).

    Google Scholar 

  13. Rangaswamy, K. M.: Quasi-projective modules (to appear).

  14. Satyanarayana, M.: Semisimple rings. Amer. Math. Monthly74, 1086 (1967).

    Google Scholar 

  15. Utumi, Y.: Self-injective rings. J. Algebra6, 56–64 (1967).

    Google Scholar 

  16. Wu, L. E. T., Jans, J. P.: On quasi-projectives. Ill. J. Math.11, 439–447 (1967).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Miami University, 45056, Oxford, Ohio, USA

    Anne Koehler

Authors
  1. Anne Koehler
    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

Koehler, A. Rings for which every cyclic module is quasi-projective. Math. Ann. 189, 311–316 (1970). https://doi.org/10.1007/BF01359713

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01359713

Keywords

Search

Navigation