Skip to main content
SpringerLink
Log in

On some classes of modules

  • Published:
Czechoslovak Mathematical Journal Aims and scope Submit manuscript

Abstract

The aim of this paper is to investigate quasi-corational, comonoform, copolyform and α-(co)atomic modules. It is proved that for an ordinal α a right R-module M is α-atomic if and only if it is α-coatomic. And it is also shown that an α-atomic module M is quasi-projective if and only if M is quasi-corationally complete. Some other results are developed.

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

Similar content being viewed by others

References

  1. T. Albu and P. F. Smith: Dual relative Krull dimension of modules over commutative rings. Abelian groups. Math. Appl. (East European Ser.) 343 (1995), 1–15.

  2. F. W. Anderson and K. R. Fuller: Rings and Categories. Springer-Verlag, New York, 1973.

    Google Scholar 

  3. R. Courter: Finite direct sums of complete matrix rings over perfect completely primary rings. Canad. J. Math. 21 (1968), 430–446.

    Google Scholar 

  4. F. Kasch: Modules and Rings. Academic Press, 1982.

  5. D. Kirby: Dimension and length for artinian modules. Quart. J. Math. Oxford Ser. 2 41 (1990), 419–429.

    Google Scholar 

  6. S. H. Mohammed and B. J. Muller: Continuous and Discrete Modules. London Math. Soc. Lecture Notes 147, Cambridge Univ. Press, 1990.

  7. K. Oshiro: Semiperfect modules and quasi-semiperfect modules. Osaka J. Math. 20 (1983), 337–372.

    Google Scholar 

  8. R. N. Roberts: Krull dimension for Artinian modules over quasi-local commutative Rings. Quart. J. Math. Oxford Ser. 3 26 (1975), 269–273.

    Google Scholar 

  9. H. H. Storrer: On Goldman's Primary Decomposition Lectures on rings and modules. Lecture Notes in Math. vol. 246, Springer-Verlag, New York, 1992, pp. 617–661.

    Google Scholar 

  10. R. Wisbauer: Foundations of Module and Ring Theory. Gordon and Breach. Reading, 1991.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Faculty of Education, Part of Mathematics Education, Hacettepe University, 06532 Beytepe, Ankara, Turkey

    Gonca Güngöroglu

  2. Departement of Mathematics, Hacettepe University, 06532 Beytepe, Ankara, Turkey

    Abdullah Harmanci

Authors
  1. Gonca Güngöroglu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Abdullah Harmanci
    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

Güngöroglu, G., Harmanci, A. On some classes of modules. Czechoslovak Mathematical Journal 50, 839–846 (2000). https://doi.org/10.1023/A:1022420830121

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1022420830121

Search

Navigation