Skip to main content
SpringerLink
Log in

On the multiplicative semigroup of a ring

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

Abstract

We prove that a PI-ring is finite if its multiplicative semigroup is finitelygenerated.

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. A. Braun,The nilpotency of the radical in a finitely generated PI-ring, Journal of Algebra89 (1984), 375–396.

    Article  MATH  MathSciNet  Google Scholar 

  2. S. Burris and H. P. Sankappanavar,A Course in Universal Algebra, Springer-Verlag, Berlin, 1981.

    MATH  Google Scholar 

  3. J. R. Isbell,On the multiplicative semigroup of a commutative ring, Proceedings of the American Mathematical Society10 (1959), 908–909.

    Article  MATH  MathSciNet  Google Scholar 

  4. L. H. Rowen,Ring Theory I and II, Academic Press, New York, 1988.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Mathematical Sciences, Sackler Faculty of Exact Sciences, Tel Aviv University, 69978, Tel Aviv, Israel

    A. A. Klein

  2. Department of Mathematics, Brock University, L2S3A1, St. Catharines, Ontario, Canada

    H. E. Bell

Authors
  1. A. A. Klein
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. H. E. Bell
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. A. Klein.

Additional information

Supported by the Natural Sciences and Engineering Research Council of Canada, Grant 3961.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Klein, A.A., Bell, H.E. On the multiplicative semigroup of a ring. Isr. J. Math. 116, 249–252 (2000). https://doi.org/10.1007/BF02773220

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02773220

Keywords

Search

Navigation