Skip to main content
SpringerLink
Log in

Every subsemigroup of a free semigroup with zero is not an R-semigroup

  • Short Note
  • Published:
Semigroup Forum 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. Clifford, A.H. and G.B. Preston,The algebraic theory of semigroups, Amer. Math. Soc. 1(1961) Survey 7.

  2. Isbell, J.R.,On the multiplicative semigroup of a commutative ring. Proc. Amer. Math. Soc. 10 (1959) 908–909.

    Google Scholar 

  3. Lyndon, R.C. and M.P. Schützenberger,On the equation aM=bNcP in a free group. Michigan Math. J. 9 (1962) 289–298.

    Google Scholar 

  4. Satyanarayana, M.,On semigroups admitting ring structure, Semigroup Forum 3 (1971) 43–50

    Google Scholar 

  5. ——,On semigroups admitting ring structure II, Semigroup Forum 6 (1973) 189–197.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, The University of Western Ontario, London, Ontario, Canada

    H. J. Shyr

Authors
  1. H. J. Shyr
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

This research has been supported by Grant A7877 of the National Research Council of Canada.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shyr, H.J. Every subsemigroup of a free semigroup with zero is not an R-semigroup. Semigroup Forum 12, 380–382 (1976). https://doi.org/10.1007/BF02195944

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02195944

Keywords

Search

Navigation