Skip to main content
SpringerLink
Log in

A countable series of bisimple \(\mathcal{H}\)-trivial finitely presented congruence-free monoids

  • 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. Birget, J.-C.: Monoid generalizations of the Richard Thompson groups. J. Pure Appl. Algebra 213, 264–278 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  2. Birget, J.-C.: The \(\mathcal{R}\)- and \(\mathcal{L}\)-orders of the Thompson-Higman monoid M k,1 and their complexity. Int. J. Algebra Comput. 20, 489–524 (2010)

    Article  MATH  MathSciNet  Google Scholar 

  3. Birget, J.-C.: The Thompson-Higman monoids M k,i : the \(\mathcal {J}\)-order, the \(\mathcal{D}\)-relation, and their complexity. Int. J. Algebra Comput. 21, 1–34 (2011)

    Article  MATH  MathSciNet  Google Scholar 

  4. Birget, J.-C.: Bernoulli measure on strings, and Thompson-Higman monoids. Semigroup Forum 83, 1–32 (2011)

    Article  MATH  MathSciNet  Google Scholar 

  5. Birget, J.-C.: Monoids that map onto the Thompson-Higman groups. Semigroup Forum 83, 33–51 (2011)

    Article  MATH  MathSciNet  Google Scholar 

  6. Byleen, K.: Embedding any countable semigroup in a 2-generated congruence-free semigroup. Semigroup Forum 41, 145–153 (1990)

    Article  MATH  MathSciNet  Google Scholar 

  7. Cain, A., Maltcev, V., Umar, A.: A countable family of finitely presented infinite congruence-free monoids. Preprint http://arxiv.org/abs/1304.4687 (2013)

  8. Higman, G.: Finitely presented infinite simple groups. In: Notes on Pure Mathematics, Department of Pure Mathematics, Department of Mathematics, I.A.S. Australian National University, Canberra (1974)

    Google Scholar 

  9. Lyndon, R.C., Schupp, P.E.: Combinatorial Group Theory. Classics in Mathematics. Springer, Berlin (2001)

    MATH  Google Scholar 

  10. Maltcev, V.: Finite semigroups embed in finitely presented congruence-free monoids. Preprint http://arxiv.org/abs/1301.5336 (2013)

Download references

Acknowledgements

The author thanks the referee for thorough reading and for the remarks which helped to simplify the previous version of the proof and make the general exposition more readable.

Author information

Authors and Affiliations

  1. Department of Mathematics and Statistics, Sultan Qaboos University, Al-Khodh 123, Muscat, Sultanate of Oman

    Victor Maltcev

Authors
  1. Victor Maltcev
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Victor Maltcev.

Additional information

Communicated by Norman R. Reilly.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Maltcev, V. A countable series of bisimple \(\mathcal{H}\)-trivial finitely presented congruence-free monoids. Semigroup Forum 88, 279–285 (2014). https://doi.org/10.1007/s00233-013-9508-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00233-013-9508-5

Keywords

Search

Navigation