Skip to main content
Log in

Commutative rings for which every continuous module is quasi-injective

  • Published:
Archiv der Mathematik Aims and scope Submit manuscript

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

Access this article

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

Instant access to the full article PDF.

References

  1. H. Boerner, Lineare Kompaktheit und die Zerlegung endlich erzeugter Moduln bei einreihigen Duoringen. Mitt. Math. Sem. Giessen121, 85–92 (1976).

    Google Scholar 

  2. V. K. Goel andS. K. Jain,π-injective modules and rings whose cyclics areπ-injective. Comm. Algebra (1)6, 59–73 (1978).

    Google Scholar 

  3. L. Jeremy, Modules et anneaux quasi-continus. Canad. Math. Bull. (2)17, 217–228 (1974).

    Google Scholar 

  4. E. Matlis, Injective modules over noetherian rings. Pacific J. Math.8, 511–528 (1958).

    Google Scholar 

  5. S. Mohamed andT. Bouhy, Continuous modules. Arabian J. Sci. Eng.2, 107–112 (1977).

    Google Scholar 

  6. B. J. MÜller andS. T. Rizvi, On the decomposition of continuous modules. Canad. Math. Bull.25, 296–301 (1982).

    Google Scholar 

  7. B. J. MÜller andS. T. Rizvi, On the existence of continuous hulls. Comm. Algebra (17)10, 1819–1838 (1982).

    Google Scholar 

  8. B. J. Müller andS. T. Rizvi, On injective and quasi-continuous modules. J. Pure Appl. Algebra28, 197–210 (1983).

    Google Scholar 

  9. B. J. Müller andS. T. Rizvi, Direct sums of indecomposable modules. Osaka J. Math.21, 365–374 (1984).

    Google Scholar 

  10. K. Oshiro, Continuous modules and quasi-continuous modules. Osaka J. Math.20, 681–694 (1983).

    Google Scholar 

  11. D. W.Sharpe and P.Vamos, injective Modules. Cambridge Univ. Press 1972.

  12. Y. Utumi, On continuous regular rings and semisimple self-injective rings. Canad. J. Math.12, 597–605 (1960).

    Google Scholar 

  13. Y. Utumi, On continuous regular rings. Canad. Math. Bull. (1)4, 63–69 (1961).

    Google Scholar 

  14. Y. Utumi, On continuous rings and self-injective rings. Trans. Amer. Math. Soc.118, 158–173 (1965).

    Google Scholar 

  15. P. Vamos, Classical rings. J. Algebra34, 114–129 (1975).

    Google Scholar 

  16. J.Von Neumann, Continuous Geometry. Princeton Univ. Press 1960.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tariq Rizvi, S. Commutative rings for which every continuous module is quasi-injective. Arch. Math 50, 435–442 (1988). https://doi.org/10.1007/BF01196504

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01196504

Keywords

Navigation