Skip to main content
Log in

More on the AR property and chain conditions in group rings

  • Published:
Israel Journal of Mathematics Aims and scope Submit manuscript

Abstract

We investigate when the augmentation ideal of a group algebrakG has the AR property in the cases ofG a locally nilpotent or hyperabelian group.

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.

Similar content being viewed by others

References

  1. I. Kaplansky,Infinite Abelian Groups, University of Michigan Press, Ann Arbor, 1962.

    Google Scholar 

  2. Y. Nouazé and P. Gabriel,Idéaux premiers de l’algèbre enveloppante d’une algèbre de Lie nilpotente, J. Algebra6 (1967), 77–99.

    Article  MATH  MathSciNet  Google Scholar 

  3. D. S. Passman,The Algebraic Structure of Group Rings, Wiley-Interscience, New York, 1977.

    MATH  Google Scholar 

  4. D. J. S. Robinson,Finiteness Conditions and Generalized Soluble Groups, Vols. I and II, Springer-Verlag, Berlin, 1972.

    Google Scholar 

  5. J. E. Roseblade,Applications of the Artin-Rees Lemma to group rings, Symposia Math.17 (1976), 471–478.

    MathSciNet  Google Scholar 

  6. W. R. Scott,Group Theory, Prentice-Hall, New Jersey, 1964.

    MATH  Google Scholar 

  7. P. F. Smith,The AR property and chain conditions in group rings, Israel J. Math.32 (1979), 131–144.

    MATH  MathSciNet  Google Scholar 

  8. R. L. Snider,The zero divisor conjecture for some solvable groups, preprint.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Smith, P.F. More on the AR property and chain conditions in group rings. Israel J. Math. 35, 186–204 (1980). https://doi.org/10.1007/BF02761189

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02761189

Keywords

Navigation